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Finding the Fourth Proportional to 72,910.14, 109,376.10 and 22,984.98

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Solution

The fourth proportional to 72,910.14, 109,376.10 and 22,984.98 is: 34,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,910.14 : 109,376.10 = 22,984.98 : x
  2. Step 2: Convert to fraction form
    72,910.14/109,376.10 = 22,984.98/x
  3. Step 3: Cross multiply
    72,910.14x = 109,376.10 × 22,984.98
  4. Step 4: Simplify right side
    72,910.14x = 2,514,007,470.98
  5. Step 5: Solve for x
    x = 2,514,007,470.98/72,910.14
  6. Step 6: Final answer
    x = 34,480.90

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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.