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Finding the Fourth Proportional to 56,805.39, 78,385.32 and 31,310.55

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Solution

The fourth proportional to 56,805.39, 78,385.32 and 31,310.55 is: 43,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,805.39 : 78,385.32 = 31,310.55 : x
  2. Step 2: Convert to fraction form
    56,805.39/78,385.32 = 31,310.55/x
  3. Step 3: Cross multiply
    56,805.39x = 78,385.32 × 31,310.55
  4. Step 4: Simplify right side
    56,805.39x = 2,454,287,481.13
  5. Step 5: Solve for x
    x = 2,454,287,481.13/56,805.39
  6. Step 6: Final answer
    x = 43,205.19

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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.