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Finding the Fourth Proportional to 92,354.32, 138,552.86 and 29,180.71

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Solution

The fourth proportional to 92,354.32, 138,552.86 and 29,180.71 is: 43,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,354.32 : 138,552.86 = 29,180.71 : x
  2. Step 2: Convert to fraction form
    92,354.32/138,552.86 = 29,180.71/x
  3. Step 3: Cross multiply
    92,354.32x = 138,552.86 × 29,180.71
  4. Step 4: Simplify right side
    92,354.32x = 4,043,070,827.33
  5. Step 5: Solve for x
    x = 4,043,070,827.33/92,354.32
  6. Step 6: Final answer
    x = 43,777.82

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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.