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Finding the Fourth Proportional to 41,456.92, 57,210.52 and 22,594

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Solution

The fourth proportional to 41,456.92, 57,210.52 and 22,594 is: 31,179.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456.92 : 57,210.52 = 22,594 : x
  2. Step 2: Convert to fraction form
    41,456.92/57,210.52 = 22,594/x
  3. Step 3: Cross multiply
    41,456.92x = 57,210.52 × 22,594
  4. Step 4: Simplify right side
    41,456.92x = 1,292,614,488.88
  5. Step 5: Solve for x
    x = 1,292,614,488.88/41,456.92
  6. Step 6: Final answer
    x = 31,179.70

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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.