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Finding the Fourth Proportional to 83,881.83, 115,753.44 and 45,641.52

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Solution

The fourth proportional to 83,881.83, 115,753.44 and 45,641.52 is: 62,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,881.83 : 115,753.44 = 45,641.52 : x
  2. Step 2: Convert to fraction form
    83,881.83/115,753.44 = 45,641.52/x
  3. Step 3: Cross multiply
    83,881.83x = 115,753.44 × 45,641.52
  4. Step 4: Simplify right side
    83,881.83x = 5,283,163,209.75
  5. Step 5: Solve for x
    x = 5,283,163,209.75/83,881.83
  6. Step 6: Final answer
    x = 62,983.41

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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.