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Finding the Fourth Proportional to 83,006.82, 114,412.82 and 58,815.90

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Solution

The fourth proportional to 83,006.82, 114,412.82 and 58,815.90 is: 81,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,006.82 : 114,412.82 = 58,815.90 : x
  2. Step 2: Convert to fraction form
    83,006.82/114,412.82 = 58,815.90/x
  3. Step 3: Cross multiply
    83,006.82x = 114,412.82 × 58,815.90
  4. Step 4: Simplify right side
    83,006.82x = 6,729,292,685.76
  5. Step 5: Solve for x
    x = 6,729,292,685.76/83,006.82
  6. Step 6: Final answer
    x = 81,069.15

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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.