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Finding the Fourth Proportional to 58,934.92, 81,329.04 and 32,078.02

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Solution

The fourth proportional to 58,934.92, 81,329.04 and 32,078.02 is: 44,267.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,934.92 : 81,329.04 = 32,078.02 : x
  2. Step 2: Convert to fraction form
    58,934.92/81,329.04 = 32,078.02/x
  3. Step 3: Cross multiply
    58,934.92x = 81,329.04 × 32,078.02
  4. Step 4: Simplify right side
    58,934.92x = 2,608,874,571.70
  5. Step 5: Solve for x
    x = 2,608,874,571.70/58,934.92
  6. Step 6: Final answer
    x = 44,267.04

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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.