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Finding the Fourth Proportional to 86,592, 129,909.87 and 24,262.50

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Solution

The fourth proportional to 86,592, 129,909.87 and 24,262.50 is: 36,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,592 : 129,909.87 = 24,262.50 : x
  2. Step 2: Convert to fraction form
    86,592/129,909.87 = 24,262.50/x
  3. Step 3: Cross multiply
    86,592x = 129,909.87 × 24,262.50
  4. Step 4: Simplify right side
    86,592x = 3,151,938,220.88
  5. Step 5: Solve for x
    x = 3,151,938,220.88/86,592
  6. Step 6: Final answer
    x = 36,399.88

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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.