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Finding the Fourth Proportional to 83,575.52, 115,332.24 and 45,849.44

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Solution

The fourth proportional to 83,575.52, 115,332.24 and 45,849.44 is: 63,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,575.52 : 115,332.24 = 45,849.44 : x
  2. Step 2: Convert to fraction form
    83,575.52/115,332.24 = 45,849.44/x
  3. Step 3: Cross multiply
    83,575.52x = 115,332.24 × 45,849.44
  4. Step 4: Simplify right side
    83,575.52x = 5,287,918,617.95
  5. Step 5: Solve for x
    x = 5,287,918,617.95/83,575.52
  6. Step 6: Final answer
    x = 63,271.14

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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.