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Finding the Fourth Proportional to 56,884.92, 85,213.14 and 28,335.88

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Solution

The fourth proportional to 56,884.92, 85,213.14 and 28,335.88 is: 42,446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,884.92 : 85,213.14 = 28,335.88 : x
  2. Step 2: Convert to fraction form
    56,884.92/85,213.14 = 28,335.88/x
  3. Step 3: Cross multiply
    56,884.92x = 85,213.14 × 28,335.88
  4. Step 4: Simplify right side
    56,884.92x = 2,414,589,309.46
  5. Step 5: Solve for x
    x = 2,414,589,309.46/56,884.92
  6. Step 6: Final answer
    x = 42,446.92

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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.