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Finding the Fourth Proportional to 83,891.70, 115,775.54 and 48,084.03

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Solution

The fourth proportional to 83,891.70, 115,775.54 and 48,084.03 is: 66,358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.70 : 115,775.54 = 48,084.03 : x
  2. Step 2: Convert to fraction form
    83,891.70/115,775.54 = 48,084.03/x
  3. Step 3: Cross multiply
    83,891.70x = 115,775.54 × 48,084.03
  4. Step 4: Simplify right side
    83,891.70x = 5,566,954,538.63
  5. Step 5: Solve for x
    x = 5,566,954,538.63/83,891.70
  6. Step 6: Final answer
    x = 66,358.82

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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.