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Finding the Fourth Proportional to 71,509.32, 107,189.13 and 24,108.03

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Solution

The fourth proportional to 71,509.32, 107,189.13 and 24,108.03 is: 36,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.32 : 107,189.13 = 24,108.03 : x
  2. Step 2: Convert to fraction form
    71,509.32/107,189.13 = 24,108.03/x
  3. Step 3: Cross multiply
    71,509.32x = 107,189.13 × 24,108.03
  4. Step 4: Simplify right side
    71,509.32x = 2,584,118,761.71
  5. Step 5: Solve for x
    x = 2,584,118,761.71/71,509.32
  6. Step 6: Final answer
    x = 36,136.81

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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.