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Finding the Fourth Proportional to 53,698.80, 80,516.20 and 32,937.20

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Solution

The fourth proportional to 53,698.80, 80,516.20 and 32,937.20 is: 49,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698.80 : 80,516.20 = 32,937.20 : x
  2. Step 2: Convert to fraction form
    53,698.80/80,516.20 = 32,937.20/x
  3. Step 3: Cross multiply
    53,698.80x = 80,516.20 × 32,937.20
  4. Step 4: Simplify right side
    53,698.80x = 2,651,978,182.64
  5. Step 5: Solve for x
    x = 2,651,978,182.64/53,698.80
  6. Step 6: Final answer
    x = 49,386.17

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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.