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Finding the Fourth Proportional to 137,074.92, 205,584.84 and 48,332.04

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Solution

The fourth proportional to 137,074.92, 205,584.84 and 48,332.04 is: 72,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,074.92 : 205,584.84 = 48,332.04 : x
  2. Step 2: Convert to fraction form
    137,074.92/205,584.84 = 48,332.04/x
  3. Step 3: Cross multiply
    137,074.92x = 205,584.84 × 48,332.04
  4. Step 4: Simplify right side
    137,074.92x = 9,936,334,710.27
  5. Step 5: Solve for x
    x = 9,936,334,710.27/137,074.92
  6. Step 6: Final answer
    x = 72,488.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.