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Finding the Fourth Proportional to 83,224.29, 124,867.89 and 49,967.54

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Solution

The fourth proportional to 83,224.29, 124,867.89 and 49,967.54 is: 74,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.29 : 124,867.89 = 49,967.54 : x
  2. Step 2: Convert to fraction form
    83,224.29/124,867.89 = 49,967.54/x
  3. Step 3: Cross multiply
    83,224.29x = 124,867.89 × 49,967.54
  4. Step 4: Simplify right side
    83,224.29x = 6,239,340,663.95
  5. Step 5: Solve for x
    x = 6,239,340,663.95/83,224.29
  6. Step 6: Final answer
    x = 74,970.19

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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.