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Finding the Fourth Proportional to 31,457.92, 46,921.16 and 29,630.56

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Solution

The fourth proportional to 31,457.92, 46,921.16 and 29,630.56 is: 44,195.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.92 : 46,921.16 = 29,630.56 : x
  2. Step 2: Convert to fraction form
    31,457.92/46,921.16 = 29,630.56/x
  3. Step 3: Cross multiply
    31,457.92x = 46,921.16 × 29,630.56
  4. Step 4: Simplify right side
    31,457.92x = 1,390,300,246.65
  5. Step 5: Solve for x
    x = 1,390,300,246.65/31,457.92
  6. Step 6: Final answer
    x = 44,195.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.