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Finding the Fourth Proportional to 83,265.84, 114,902.64 and 51,437.52

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Solution

The fourth proportional to 83,265.84, 114,902.64 and 51,437.52 is: 70,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.84 : 114,902.64 = 51,437.52 : x
  2. Step 2: Convert to fraction form
    83,265.84/114,902.64 = 51,437.52/x
  3. Step 3: Cross multiply
    83,265.84x = 114,902.64 × 51,437.52
  4. Step 4: Simplify right side
    83,265.84x = 5,910,306,843.05
  5. Step 5: Solve for x
    x = 5,910,306,843.05/83,265.84
  6. Step 6: Final answer
    x = 70,981.17

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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.