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Finding the Fourth Proportional to 145,049.80, 217,580.06 and 39,877

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Solution

The fourth proportional to 145,049.80, 217,580.06 and 39,877 is: 59,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,049.80 : 217,580.06 = 39,877 : x
  2. Step 2: Convert to fraction form
    145,049.80/217,580.06 = 39,877/x
  3. Step 3: Cross multiply
    145,049.80x = 217,580.06 × 39,877
  4. Step 4: Simplify right side
    145,049.80x = 8,676,440,052.62
  5. Step 5: Solve for x
    x = 8,676,440,052.62/145,049.80
  6. Step 6: Final answer
    x = 59,816.97

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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.