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Finding the Fourth Proportional to 60,049.64, 82,859.65 and 34,208.42

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Solution

The fourth proportional to 60,049.64, 82,859.65 and 34,208.42 is: 47,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,049.64 : 82,859.65 = 34,208.42 : x
  2. Step 2: Convert to fraction form
    60,049.64/82,859.65 = 34,208.42/x
  3. Step 3: Cross multiply
    60,049.64x = 82,859.65 × 34,208.42
  4. Step 4: Simplify right side
    60,049.64x = 2,834,497,708.25
  5. Step 5: Solve for x
    x = 2,834,497,708.25/60,049.64
  6. Step 6: Final answer
    x = 47,202.58

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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.