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Finding the Fourth Proportional to 30,542.52, 45,810.90 and 9,760.44

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Solution

The fourth proportional to 30,542.52, 45,810.90 and 9,760.44 is: 14,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.52 : 45,810.90 = 9,760.44 : x
  2. Step 2: Convert to fraction form
    30,542.52/45,810.90 = 9,760.44/x
  3. Step 3: Cross multiply
    30,542.52x = 45,810.90 × 9,760.44
  4. Step 4: Simplify right side
    30,542.52x = 447,134,540.80
  5. Step 5: Solve for x
    x = 447,134,540.80/30,542.52
  6. Step 6: Final answer
    x = 14,639.74

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1.5x scale

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.