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Finding the Fourth Proportional to 83,035.81, 114,591.95 and 47,230.98

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Solution

The fourth proportional to 83,035.81, 114,591.95 and 47,230.98 is: 65,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035.81 : 114,591.95 = 47,230.98 : x
  2. Step 2: Convert to fraction form
    83,035.81/114,591.95 = 47,230.98/x
  3. Step 3: Cross multiply
    83,035.81x = 114,591.95 × 47,230.98
  4. Step 4: Simplify right side
    83,035.81x = 5,412,290,098.61
  5. Step 5: Solve for x
    x = 5,412,290,098.61/83,035.81
  6. Step 6: Final answer
    x = 65,180.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.