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Finding the Fourth Proportional to 31,134.88, 46,702.72 and 10,358.38

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Solution

The fourth proportional to 31,134.88, 46,702.72 and 10,358.38 is: 15,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.88 : 46,702.72 = 10,358.38 : x
  2. Step 2: Convert to fraction form
    31,134.88/46,702.72 = 10,358.38/x
  3. Step 3: Cross multiply
    31,134.88x = 46,702.72 × 10,358.38
  4. Step 4: Simplify right side
    31,134.88x = 483,764,287.28
  5. Step 5: Solve for x
    x = 483,764,287.28/31,134.88
  6. Step 6: Final answer
    x = 15,537.70

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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.