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Finding the Fourth Proportional to 83,182, 124,773.96 and 24,018.32

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Solution

The fourth proportional to 83,182, 124,773.96 and 24,018.32 is: 36,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,182 : 124,773.96 = 24,018.32 : x
  2. Step 2: Convert to fraction form
    83,182/124,773.96 = 24,018.32/x
  3. Step 3: Cross multiply
    83,182x = 124,773.96 × 24,018.32
  4. Step 4: Simplify right side
    83,182x = 2,996,860,898.95
  5. Step 5: Solve for x
    x = 2,996,860,898.95/83,182
  6. Step 6: Final answer
    x = 36,027.76

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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.