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Finding the Fourth Proportional to 83,924.49, 125,899.04 and 24,752.48

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Solution

The fourth proportional to 83,924.49, 125,899.04 and 24,752.48 is: 37,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,924.49 : 125,899.04 = 24,752.48 : x
  2. Step 2: Convert to fraction form
    83,924.49/125,899.04 = 24,752.48/x
  3. Step 3: Cross multiply
    83,924.49x = 125,899.04 × 24,752.48
  4. Step 4: Simplify right side
    83,924.49x = 3,116,312,716.36
  5. Step 5: Solve for x
    x = 3,116,312,716.36/83,924.49
  6. Step 6: Final answer
    x = 37,132.34

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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.