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Finding the Fourth Proportional to 83,230.53, 114,850.20 and 47,419.62

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Solution

The fourth proportional to 83,230.53, 114,850.20 and 47,419.62 is: 65,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,230.53 : 114,850.20 = 47,419.62 : x
  2. Step 2: Convert to fraction form
    83,230.53/114,850.20 = 47,419.62/x
  3. Step 3: Cross multiply
    83,230.53x = 114,850.20 × 47,419.62
  4. Step 4: Simplify right side
    83,230.53x = 5,446,152,840.92
  5. Step 5: Solve for x
    x = 5,446,152,840.92/83,230.53
  6. Step 6: Final answer
    x = 65,434.56

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1.5x scale

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.