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Finding the Fourth Proportional to 58,512.64, 80,747.22 and 31,655.20

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Solution

The fourth proportional to 58,512.64, 80,747.22 and 31,655.20 is: 43,684.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,512.64 : 80,747.22 = 31,655.20 : x
  2. Step 2: Convert to fraction form
    58,512.64/80,747.22 = 31,655.20/x
  3. Step 3: Cross multiply
    58,512.64x = 80,747.22 × 31,655.20
  4. Step 4: Simplify right side
    58,512.64x = 2,556,069,398.54
  5. Step 5: Solve for x
    x = 2,556,069,398.54/58,512.64
  6. Step 6: Final answer
    x = 43,684.06

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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.