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Finding the Fourth Proportional to 58,514.38, 80,749.64 and 31,656.90

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Solution

The fourth proportional to 58,514.38, 80,749.64 and 31,656.90 is: 43,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,514.38 : 80,749.64 = 31,656.90 : x
  2. Step 2: Convert to fraction form
    58,514.38/80,749.64 = 31,656.90/x
  3. Step 3: Cross multiply
    58,514.38x = 80,749.64 × 31,656.90
  4. Step 4: Simplify right side
    58,514.38x = 2,556,283,278.52
  5. Step 5: Solve for x
    x = 2,556,283,278.52/58,514.38
  6. Step 6: Final answer
    x = 43,686.41

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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.