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Finding the Fourth Proportional to 83,233.76, 114,862.58 and 45,508

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Solution

The fourth proportional to 83,233.76, 114,862.58 and 45,508 is: 62,801.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.76 : 114,862.58 = 45,508 : x
  2. Step 2: Convert to fraction form
    83,233.76/114,862.58 = 45,508/x
  3. Step 3: Cross multiply
    83,233.76x = 114,862.58 × 45,508
  4. Step 4: Simplify right side
    83,233.76x = 5,227,166,290.64
  5. Step 5: Solve for x
    x = 5,227,166,290.64/83,233.76
  6. Step 6: Final answer
    x = 62,801.04

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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.