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Finding the Fourth Proportional to 53,896.92, 80,854.44 and 24,314.04

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Solution

The fourth proportional to 53,896.92, 80,854.44 and 24,314.04 is: 36,475.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896.92 : 80,854.44 = 24,314.04 : x
  2. Step 2: Convert to fraction form
    53,896.92/80,854.44 = 24,314.04/x
  3. Step 3: Cross multiply
    53,896.92x = 80,854.44 × 24,314.04
  4. Step 4: Simplify right side
    53,896.92x = 1,965,898,088.34
  5. Step 5: Solve for x
    x = 1,965,898,088.34/53,896.92
  6. Step 6: Final answer
    x = 36,475.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.