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Finding the Fourth Proportional to 31,034.14, 46,562.48 and 15,237.48

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Solution

The fourth proportional to 31,034.14, 46,562.48 and 15,237.48 is: 22,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034.14 : 46,562.48 = 15,237.48 : x
  2. Step 2: Convert to fraction form
    31,034.14/46,562.48 = 15,237.48/x
  3. Step 3: Cross multiply
    31,034.14x = 46,562.48 × 15,237.48
  4. Step 4: Simplify right side
    31,034.14x = 709,495,013.31
  5. Step 5: Solve for x
    x = 709,495,013.31/31,034.14
  6. Step 6: Final answer
    x = 22,861.76

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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.