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Finding the Fourth Proportional to 56,876.40, 78,489.38 and 31,725.90

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Solution

The fourth proportional to 56,876.40, 78,489.38 and 31,725.90 is: 43,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,876.40 : 78,489.38 = 31,725.90 : x
  2. Step 2: Convert to fraction form
    56,876.40/78,489.38 = 31,725.90/x
  3. Step 3: Cross multiply
    56,876.40x = 78,489.38 × 31,725.90
  4. Step 4: Simplify right side
    56,876.40x = 2,490,146,220.94
  5. Step 5: Solve for x
    x = 2,490,146,220.94/56,876.40
  6. Step 6: Final answer
    x = 43,781.71

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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.