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Finding the Fourth Proportional to 80,894.82, 121,342.50 and 24,734.72

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Solution

The fourth proportional to 80,894.82, 121,342.50 and 24,734.72 is: 37,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,894.82 : 121,342.50 = 24,734.72 : x
  2. Step 2: Convert to fraction form
    80,894.82/121,342.50 = 24,734.72/x
  3. Step 3: Cross multiply
    80,894.82x = 121,342.50 × 24,734.72
  4. Step 4: Simplify right side
    80,894.82x = 3,001,372,761.60
  5. Step 5: Solve for x
    x = 3,001,372,761.60/80,894.82
  6. Step 6: Final answer
    x = 37,102.16

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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.