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Finding the Fourth Proportional to 92,175.30, 138,284.82 and 29,845.80

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Solution

The fourth proportional to 92,175.30, 138,284.82 and 29,845.80 is: 44,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,175.30 : 138,284.82 = 29,845.80 : x
  2. Step 2: Convert to fraction form
    92,175.30/138,284.82 = 29,845.80/x
  3. Step 3: Cross multiply
    92,175.30x = 138,284.82 × 29,845.80
  4. Step 4: Simplify right side
    92,175.30x = 4,127,221,080.76
  5. Step 5: Solve for x
    x = 4,127,221,080.76/92,175.30
  6. Step 6: Final answer
    x = 44,775.78

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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.