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Finding the Fourth Proportional to 67,202.85, 92,701.31 and 42,008.61

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Solution

The fourth proportional to 67,202.85, 92,701.31 and 42,008.61 is: 57,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,202.85 : 92,701.31 = 42,008.61 : x
  2. Step 2: Convert to fraction form
    67,202.85/92,701.31 = 42,008.61/x
  3. Step 3: Cross multiply
    67,202.85x = 92,701.31 × 42,008.61
  4. Step 4: Simplify right side
    67,202.85x = 3,894,252,968.24
  5. Step 5: Solve for x
    x = 3,894,252,968.24/67,202.85
  6. Step 6: Final answer
    x = 57,947.74

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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.