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Finding the Fourth Proportional to 61,517.76, 92,276.64 and 47,498.22

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Solution

The fourth proportional to 61,517.76, 92,276.64 and 47,498.22 is: 71,247.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,517.76 : 92,276.64 = 47,498.22 : x
  2. Step 2: Convert to fraction form
    61,517.76/92,276.64 = 47,498.22/x
  3. Step 3: Cross multiply
    61,517.76x = 92,276.64 × 47,498.22
  4. Step 4: Simplify right side
    61,517.76x = 4,382,976,147.58
  5. Step 5: Solve for x
    x = 4,382,976,147.58/61,517.76
  6. Step 6: Final answer
    x = 71,247.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.