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Finding the Fourth Proportional to 54,696, 75,480.48 and 29,545.50

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Solution

The fourth proportional to 54,696, 75,480.48 and 29,545.50 is: 40,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696 : 75,480.48 = 29,545.50 : x
  2. Step 2: Convert to fraction form
    54,696/75,480.48 = 29,545.50/x
  3. Step 3: Cross multiply
    54,696x = 75,480.48 × 29,545.50
  4. Step 4: Simplify right side
    54,696x = 2,230,108,521.84
  5. Step 5: Solve for x
    x = 2,230,108,521.84/54,696
  6. Step 6: Final answer
    x = 40,772.79

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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.