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Finding the Fourth Proportional to 31,921.92, 44,052.96 and 17,776.08

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Solution

The fourth proportional to 31,921.92, 44,052.96 and 17,776.08 is: 24,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921.92 : 44,052.96 = 17,776.08 : x
  2. Step 2: Convert to fraction form
    31,921.92/44,052.96 = 17,776.08/x
  3. Step 3: Cross multiply
    31,921.92x = 44,052.96 × 17,776.08
  4. Step 4: Simplify right side
    31,921.92x = 783,088,941.20
  5. Step 5: Solve for x
    x = 783,088,941.20/31,921.92
  6. Step 6: Final answer
    x = 24,531.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.