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Finding the Fourth Proportional to 71,158.68, 98,198.82 and 46,008

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Solution

The fourth proportional to 71,158.68, 98,198.82 and 46,008 is: 63,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.68 : 98,198.82 = 46,008 : x
  2. Step 2: Convert to fraction form
    71,158.68/98,198.82 = 46,008/x
  3. Step 3: Cross multiply
    71,158.68x = 98,198.82 × 46,008
  4. Step 4: Simplify right side
    71,158.68x = 4,517,931,310.56
  5. Step 5: Solve for x
    x = 4,517,931,310.56/71,158.68
  6. Step 6: Final answer
    x = 63,490.94

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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.