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Finding the Fourth Proportional to 52,116.38, 78,157.20 and 17,047.88

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Solution

The fourth proportional to 52,116.38, 78,157.20 and 17,047.88 is: 25,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.38 : 78,157.20 = 17,047.88 : x
  2. Step 2: Convert to fraction form
    52,116.38/78,157.20 = 17,047.88/x
  3. Step 3: Cross multiply
    52,116.38x = 78,157.20 × 17,047.88
  4. Step 4: Simplify right side
    52,116.38x = 1,332,414,566.74
  5. Step 5: Solve for x
    x = 1,332,414,566.74/52,116.38
  6. Step 6: Final answer
    x = 25,566.14

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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.