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Finding the Fourth Proportional to 47,599, 71,402.09 and 16,009.15

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Solution

The fourth proportional to 47,599, 71,402.09 and 16,009.15 is: 24,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,599 : 71,402.09 = 16,009.15 : x
  2. Step 2: Convert to fraction form
    47,599/71,402.09 = 16,009.15/x
  3. Step 3: Cross multiply
    47,599x = 71,402.09 × 16,009.15
  4. Step 4: Simplify right side
    47,599x = 1,143,086,769.12
  5. Step 5: Solve for x
    x = 1,143,086,769.12/47,599
  6. Step 6: Final answer
    x = 24,014.93

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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.