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Finding the Fourth Proportional to 42,154.32, 63,206.80 and 15,861.12

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Solution

The fourth proportional to 42,154.32, 63,206.80 and 15,861.12 is: 23,782.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.32 : 63,206.80 = 15,861.12 : x
  2. Step 2: Convert to fraction form
    42,154.32/63,206.80 = 15,861.12/x
  3. Step 3: Cross multiply
    42,154.32x = 63,206.80 × 15,861.12
  4. Step 4: Simplify right side
    42,154.32x = 1,002,530,639.62
  5. Step 5: Solve for x
    x = 1,002,530,639.62/42,154.32
  6. Step 6: Final answer
    x = 23,782.39

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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.