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Finding the Fourth Proportional to 83,086, 124,430.34 and 47,919.04

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Solution

The fourth proportional to 83,086, 124,430.34 and 47,919.04 is: 71,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,086 : 124,430.34 = 47,919.04 : x
  2. Step 2: Convert to fraction form
    83,086/124,430.34 = 47,919.04/x
  3. Step 3: Cross multiply
    83,086x = 124,430.34 × 47,919.04
  4. Step 4: Simplify right side
    83,086x = 5,962,582,439.67
  5. Step 5: Solve for x
    x = 5,962,582,439.67/83,086
  6. Step 6: Final answer
    x = 71,763.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.