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Finding the Fourth Proportional to 38,545.92, 53,201.28 and 22,638.72

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Solution

The fourth proportional to 38,545.92, 53,201.28 and 22,638.72 is: 31,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,545.92 : 53,201.28 = 22,638.72 : x
  2. Step 2: Convert to fraction form
    38,545.92/53,201.28 = 22,638.72/x
  3. Step 3: Cross multiply
    38,545.92x = 53,201.28 × 22,638.72
  4. Step 4: Simplify right side
    38,545.92x = 1,204,408,881.56
  5. Step 5: Solve for x
    x = 1,204,408,881.56/38,545.92
  6. Step 6: Final answer
    x = 31,246.08

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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.