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Finding the Fourth Proportional to 47,666.41, 71,500.04 and 12,127.78

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Solution

The fourth proportional to 47,666.41, 71,500.04 and 12,127.78 is: 18,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666.41 : 71,500.04 = 12,127.78 : x
  2. Step 2: Convert to fraction form
    47,666.41/71,500.04 = 12,127.78/x
  3. Step 3: Cross multiply
    47,666.41x = 71,500.04 × 12,127.78
  4. Step 4: Simplify right side
    47,666.41x = 867,136,755.11
  5. Step 5: Solve for x
    x = 867,136,755.11/47,666.41
  6. Step 6: Final answer
    x = 18,191.78

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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.