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Finding the Fourth Proportional to 47,712.96, 71,569.50 and 16,123.14

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Solution

The fourth proportional to 47,712.96, 71,569.50 and 16,123.14 is: 24,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,712.96 : 71,569.50 = 16,123.14 : x
  2. Step 2: Convert to fraction form
    47,712.96/71,569.50 = 16,123.14/x
  3. Step 3: Cross multiply
    47,712.96x = 71,569.50 × 16,123.14
  4. Step 4: Simplify right side
    47,712.96x = 1,153,925,068.23
  5. Step 5: Solve for x
    x = 1,153,925,068.23/47,712.96
  6. Step 6: Final answer
    x = 24,184.73

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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.