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Finding the Fourth Proportional to 61,982.52, 85,534.35 and 36,145.78

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Solution

The fourth proportional to 61,982.52, 85,534.35 and 36,145.78 is: 49,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,982.52 : 85,534.35 = 36,145.78 : x
  2. Step 2: Convert to fraction form
    61,982.52/85,534.35 = 36,145.78/x
  3. Step 3: Cross multiply
    61,982.52x = 85,534.35 × 36,145.78
  4. Step 4: Simplify right side
    61,982.52x = 3,091,705,797.54
  5. Step 5: Solve for x
    x = 3,091,705,797.54/61,982.52
  6. Step 6: Final answer
    x = 49,880.29

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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.