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Finding the Fourth Proportional to 31,129.34, 46,693.87 and 13,358.48

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Solution

The fourth proportional to 31,129.34, 46,693.87 and 13,358.48 is: 20,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.34 : 46,693.87 = 13,358.48 : x
  2. Step 2: Convert to fraction form
    31,129.34/46,693.87 = 13,358.48/x
  3. Step 3: Cross multiply
    31,129.34x = 46,693.87 × 13,358.48
  4. Step 4: Simplify right side
    31,129.34x = 623,758,861.65
  5. Step 5: Solve for x
    x = 623,758,861.65/31,129.34
  6. Step 6: Final answer
    x = 20,037.65

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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.