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Finding the Fourth Proportional to 83,605.88, 125,420.58 and 24,446

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Solution

The fourth proportional to 83,605.88, 125,420.58 and 24,446 is: 36,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.88 : 125,420.58 = 24,446 : x
  2. Step 2: Convert to fraction form
    83,605.88/125,420.58 = 24,446/x
  3. Step 3: Cross multiply
    83,605.88x = 125,420.58 × 24,446
  4. Step 4: Simplify right side
    83,605.88x = 3,066,031,498.68
  5. Step 5: Solve for x
    x = 3,066,031,498.68/83,605.88
  6. Step 6: Final answer
    x = 36,672.44

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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.