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Finding the Fourth Proportional to 56,394.52, 77,824.34 and 31,244.04

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Solution

The fourth proportional to 56,394.52, 77,824.34 and 31,244.04 is: 43,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,394.52 : 77,824.34 = 31,244.04 : x
  2. Step 2: Convert to fraction form
    56,394.52/77,824.34 = 31,244.04/x
  3. Step 3: Cross multiply
    56,394.52x = 77,824.34 × 31,244.04
  4. Step 4: Simplify right side
    56,394.52x = 2,431,546,791.93
  5. Step 5: Solve for x
    x = 2,431,546,791.93/56,394.52
  6. Step 6: Final answer
    x = 43,116.72

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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.