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Finding the Fourth Proportional to 49,865.10, 74,764.17 and 23,545.50

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Solution

The fourth proportional to 49,865.10, 74,764.17 and 23,545.50 is: 35,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,865.10 : 74,764.17 = 23,545.50 : x
  2. Step 2: Convert to fraction form
    49,865.10/74,764.17 = 23,545.50/x
  3. Step 3: Cross multiply
    49,865.10x = 74,764.17 × 23,545.50
  4. Step 4: Simplify right side
    49,865.10x = 1,760,359,764.74
  5. Step 5: Solve for x
    x = 1,760,359,764.74/49,865.10
  6. Step 6: Final answer
    x = 35,302.44

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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.