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Finding the Fourth Proportional to 83,323.20, 114,898.72 and 54,991.68

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Solution

The fourth proportional to 83,323.20, 114,898.72 and 54,991.68 is: 75,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,323.20 : 114,898.72 = 54,991.68 : x
  2. Step 2: Convert to fraction form
    83,323.20/114,898.72 = 54,991.68/x
  3. Step 3: Cross multiply
    83,323.20x = 114,898.72 × 54,991.68
  4. Step 4: Simplify right side
    83,323.20x = 6,318,473,642.65
  5. Step 5: Solve for x
    x = 6,318,473,642.65/83,323.20
  6. Step 6: Final answer
    x = 75,830.90

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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.