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Finding the Fourth Proportional to 33,545.40, 50,411.56 and 31,324.15

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Solution

The fourth proportional to 33,545.40, 50,411.56 and 31,324.15 is: 47,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,545.40 : 50,411.56 = 31,324.15 : x
  2. Step 2: Convert to fraction form
    33,545.40/50,411.56 = 31,324.15/x
  3. Step 3: Cross multiply
    33,545.40x = 50,411.56 × 31,324.15
  4. Step 4: Simplify right side
    33,545.40x = 1,579,099,267.17
  5. Step 5: Solve for x
    x = 1,579,099,267.17/33,545.40
  6. Step 6: Final answer
    x = 47,073.50

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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.