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Finding the Fourth Proportional to 71,789.80, 99,069.06 and 41,981.80

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Solution

The fourth proportional to 71,789.80, 99,069.06 and 41,981.80 is: 57,934.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,789.80 : 99,069.06 = 41,981.80 : x
  2. Step 2: Convert to fraction form
    71,789.80/99,069.06 = 41,981.80/x
  3. Step 3: Cross multiply
    71,789.80x = 99,069.06 × 41,981.80
  4. Step 4: Simplify right side
    71,789.80x = 4,159,097,463.11
  5. Step 5: Solve for x
    x = 4,159,097,463.11/71,789.80
  6. Step 6: Final answer
    x = 57,934.38

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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.