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Finding the Fourth Proportional to 83,945.38, 115,848.90 and 47,649.39

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Solution

The fourth proportional to 83,945.38, 115,848.90 and 47,649.39 is: 65,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,945.38 : 115,848.90 = 47,649.39 : x
  2. Step 2: Convert to fraction form
    83,945.38/115,848.90 = 47,649.39/x
  3. Step 3: Cross multiply
    83,945.38x = 115,848.90 × 47,649.39
  4. Step 4: Simplify right side
    83,945.38x = 5,520,129,417.17
  5. Step 5: Solve for x
    x = 5,520,129,417.17/83,945.38
  6. Step 6: Final answer
    x = 65,758.59

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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.