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Finding the Fourth Proportional to 60,738.14, 83,825.94 and 35,587.64

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Solution

The fourth proportional to 60,738.14, 83,825.94 and 35,587.64 is: 49,115.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,738.14 : 83,825.94 = 35,587.64 : x
  2. Step 2: Convert to fraction form
    60,738.14/83,825.94 = 35,587.64/x
  3. Step 3: Cross multiply
    60,738.14x = 83,825.94 × 35,587.64
  4. Step 4: Simplify right side
    60,738.14x = 2,983,167,375.38
  5. Step 5: Solve for x
    x = 2,983,167,375.38/60,738.14
  6. Step 6: Final answer
    x = 49,115.22

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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.