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Finding the Fourth Proportional to 83,301.73, 114,836.81 and 59,386.88

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Solution

The fourth proportional to 83,301.73, 114,836.81 and 59,386.88 is: 81,868.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,301.73 : 114,836.81 = 59,386.88 : x
  2. Step 2: Convert to fraction form
    83,301.73/114,836.81 = 59,386.88/x
  3. Step 3: Cross multiply
    83,301.73x = 114,836.81 × 59,386.88
  4. Step 4: Simplify right side
    83,301.73x = 6,819,799,855.05
  5. Step 5: Solve for x
    x = 6,819,799,855.05/83,301.73
  6. Step 6: Final answer
    x = 81,868.65

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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.