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Finding the Fourth Proportional to 61,762.47, 92,665.86 and 24,301.80

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Solution

The fourth proportional to 61,762.47, 92,665.86 and 24,301.80 is: 36,461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,762.47 : 92,665.86 = 24,301.80 : x
  2. Step 2: Convert to fraction form
    61,762.47/92,665.86 = 24,301.80/x
  3. Step 3: Cross multiply
    61,762.47x = 92,665.86 × 24,301.80
  4. Step 4: Simplify right side
    61,762.47x = 2,251,947,196.55
  5. Step 5: Solve for x
    x = 2,251,947,196.55/61,762.47
  6. Step 6: Final answer
    x = 36,461.42

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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.