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Finding the Fourth Proportional to 57,748.50, 86,657.31 and 24,916.50

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Solution

The fourth proportional to 57,748.50, 86,657.31 and 24,916.50 is: 37,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,748.50 : 86,657.31 = 24,916.50 : x
  2. Step 2: Convert to fraction form
    57,748.50/86,657.31 = 24,916.50/x
  3. Step 3: Cross multiply
    57,748.50x = 86,657.31 × 24,916.50
  4. Step 4: Simplify right side
    57,748.50x = 2,159,196,864.62
  5. Step 5: Solve for x
    x = 2,159,196,864.62/57,748.50
  6. Step 6: Final answer
    x = 37,389.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.