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Finding the Fourth Proportional to 62,188.68, 85,822.70 and 35,335.74

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Solution

The fourth proportional to 62,188.68, 85,822.70 and 35,335.74 is: 48,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,188.68 : 85,822.70 = 35,335.74 : x
  2. Step 2: Convert to fraction form
    62,188.68/85,822.70 = 35,335.74/x
  3. Step 3: Cross multiply
    62,188.68x = 85,822.70 × 35,335.74
  4. Step 4: Simplify right side
    62,188.68x = 3,032,608,436.62
  5. Step 5: Solve for x
    x = 3,032,608,436.62/62,188.68
  6. Step 6: Final answer
    x = 48,764.64

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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.