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Finding the Fourth Proportional to 83,290.68, 124,910.10 and 24,130.44

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Solution

The fourth proportional to 83,290.68, 124,910.10 and 24,130.44 is: 36,188.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.68 : 124,910.10 = 24,130.44 : x
  2. Step 2: Convert to fraction form
    83,290.68/124,910.10 = 24,130.44/x
  3. Step 3: Cross multiply
    83,290.68x = 124,910.10 × 24,130.44
  4. Step 4: Simplify right side
    83,290.68x = 3,014,135,673.44
  5. Step 5: Solve for x
    x = 3,014,135,673.44/83,290.68
  6. Step 6: Final answer
    x = 36,188.15

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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.