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Finding the Fourth Proportional to 41,398.24, 62,041.88 and 22,650

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Solution

The fourth proportional to 41,398.24, 62,041.88 and 22,650 is: 33,944.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398.24 : 62,041.88 = 22,650 : x
  2. Step 2: Convert to fraction form
    41,398.24/62,041.88 = 22,650/x
  3. Step 3: Cross multiply
    41,398.24x = 62,041.88 × 22,650
  4. Step 4: Simplify right side
    41,398.24x = 1,405,248,582
  5. Step 5: Solve for x
    x = 1,405,248,582/41,398.24
  6. Step 6: Final answer
    x = 33,944.65

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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.