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Finding the Fourth Proportional to 83,059.53, 114,633.10 and 47,242.62

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Solution

The fourth proportional to 83,059.53, 114,633.10 and 47,242.62 is: 65,201.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,059.53 : 114,633.10 = 47,242.62 : x
  2. Step 2: Convert to fraction form
    83,059.53/114,633.10 = 47,242.62/x
  3. Step 3: Cross multiply
    83,059.53x = 114,633.10 × 47,242.62
  4. Step 4: Simplify right side
    83,059.53x = 5,415,567,982.72
  5. Step 5: Solve for x
    x = 5,415,567,982.72/83,059.53
  6. Step 6: Final answer
    x = 65,201.04

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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.