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Finding the Fourth Proportional to 86,105.95, 129,217.70 and 29,945.50

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Solution

The fourth proportional to 86,105.95, 129,217.70 and 29,945.50 is: 44,938.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,105.95 : 129,217.70 = 29,945.50 : x
  2. Step 2: Convert to fraction form
    86,105.95/129,217.70 = 29,945.50/x
  3. Step 3: Cross multiply
    86,105.95x = 129,217.70 × 29,945.50
  4. Step 4: Simplify right side
    86,105.95x = 3,869,488,281.89
  5. Step 5: Solve for x
    x = 3,869,488,281.89/86,105.95
  6. Step 6: Final answer
    x = 44,938.69

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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.