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Finding the Fourth Proportional to 83,405.82, 125,110.79 and 24,242.01

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Solution

The fourth proportional to 83,405.82, 125,110.79 and 24,242.01 is: 36,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.82 : 125,110.79 = 24,242.01 : x
  2. Step 2: Convert to fraction form
    83,405.82/125,110.79 = 24,242.01/x
  3. Step 3: Cross multiply
    83,405.82x = 125,110.79 × 24,242.01
  4. Step 4: Simplify right side
    83,405.82x = 3,032,937,022.29
  5. Step 5: Solve for x
    x = 3,032,937,022.29/83,405.82
  6. Step 6: Final answer
    x = 36,363.61

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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.