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Finding the Fourth Proportional to 51,000.70, 76,448.40 and 22,934.20

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Solution

The fourth proportional to 51,000.70, 76,448.40 and 22,934.20 is: 34,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,000.70 : 76,448.40 = 22,934.20 : x
  2. Step 2: Convert to fraction form
    51,000.70/76,448.40 = 22,934.20/x
  3. Step 3: Cross multiply
    51,000.70x = 76,448.40 × 22,934.20
  4. Step 4: Simplify right side
    51,000.70x = 1,753,282,895.28
  5. Step 5: Solve for x
    x = 1,753,282,895.28/51,000.70
  6. Step 6: Final answer
    x = 34,377.62

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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.