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Finding the Fourth Proportional to 32,823,260.40, 49,275,325.80 and 20,692,700.40

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Solution

The fourth proportional to 32,823,260.40, 49,275,325.80 and 20,692,700.40 is: 31,064,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823,260.40 : 49,275,325.80 = 20,692,700.40 : x
  2. Step 2: Convert to fraction form
    32,823,260.40/49,275,325.80 = 20,692,700.40/x
  3. Step 3: Cross multiply
    32,823,260.40x = 49,275,325.80 × 20,692,700.40
  4. Step 4: Simplify right side
    32,823,260.40x = 1,019,639,553,891,790.12
  5. Step 5: Solve for x
    x = 1,019,639,553,891,790.12/32,823,260.40
  6. Step 6: Final answer
    x = 31,064,542.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.