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Finding the Fourth Proportional to 95,294, 142,947.12 and 25,171.52

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Solution

The fourth proportional to 95,294, 142,947.12 and 25,171.52 is: 37,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,294 : 142,947.12 = 25,171.52 : x
  2. Step 2: Convert to fraction form
    95,294/142,947.12 = 25,171.52/x
  3. Step 3: Cross multiply
    95,294x = 142,947.12 × 25,171.52
  4. Step 4: Simplify right side
    95,294x = 3,598,196,290.02
  5. Step 5: Solve for x
    x = 3,598,196,290.02/95,294
  6. Step 6: Final answer
    x = 37,758.90

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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.