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Finding the Fourth Proportional to 41,763.92, 62,643.05 and 19,582.25

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Solution

The fourth proportional to 41,763.92, 62,643.05 and 19,582.25 is: 29,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,763.92 : 62,643.05 = 19,582.25 : x
  2. Step 2: Convert to fraction form
    41,763.92/62,643.05 = 19,582.25/x
  3. Step 3: Cross multiply
    41,763.92x = 62,643.05 × 19,582.25
  4. Step 4: Simplify right side
    41,763.92x = 1,226,691,767.95
  5. Step 5: Solve for x
    x = 1,226,691,767.95/41,763.92
  6. Step 6: Final answer
    x = 29,372.05

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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.