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Finding the Fourth Proportional to 61,712, 92,572.32 and 24,776

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Solution

The fourth proportional to 61,712, 92,572.32 and 24,776 is: 37,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,712 : 92,572.32 = 24,776 : x
  2. Step 2: Convert to fraction form
    61,712/92,572.32 = 24,776/x
  3. Step 3: Cross multiply
    61,712x = 92,572.32 × 24,776
  4. Step 4: Simplify right side
    61,712x = 2,293,571,800.32
  5. Step 5: Solve for x
    x = 2,293,571,800.32/61,712
  6. Step 6: Final answer
    x = 37,165.73

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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.