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Finding the Fourth Proportional to 42,116.50, 63,179.87 and 12,932.50

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Solution

The fourth proportional to 42,116.50, 63,179.87 and 12,932.50 is: 19,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,116.50 : 63,179.87 = 12,932.50 : x
  2. Step 2: Convert to fraction form
    42,116.50/63,179.87 = 12,932.50/x
  3. Step 3: Cross multiply
    42,116.50x = 63,179.87 × 12,932.50
  4. Step 4: Simplify right side
    42,116.50x = 817,073,668.78
  5. Step 5: Solve for x
    x = 817,073,668.78/42,116.50
  6. Step 6: Final answer
    x = 19,400.32

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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.