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Finding the Fourth Proportional to 39,532.50, 59,292 and 13,237.20

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Solution

The fourth proportional to 39,532.50, 59,292 and 13,237.20 is: 19,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,532.50 : 59,292 = 13,237.20 : x
  2. Step 2: Convert to fraction form
    39,532.50/59,292 = 13,237.20/x
  3. Step 3: Cross multiply
    39,532.50x = 59,292 × 13,237.20
  4. Step 4: Simplify right side
    39,532.50x = 784,860,062.40
  5. Step 5: Solve for x
    x = 784,860,062.40/39,532.50
  6. Step 6: Final answer
    x = 19,853.54

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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.