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Finding the Fourth Proportional to 90,743.64, 136,115.46 and 28,419

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Solution

The fourth proportional to 90,743.64, 136,115.46 and 28,419 is: 42,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,743.64 : 136,115.46 = 28,419 : x
  2. Step 2: Convert to fraction form
    90,743.64/136,115.46 = 28,419/x
  3. Step 3: Cross multiply
    90,743.64x = 136,115.46 × 28,419
  4. Step 4: Simplify right side
    90,743.64x = 3,868,265,257.74
  5. Step 5: Solve for x
    x = 3,868,265,257.74/90,743.64
  6. Step 6: Final answer
    x = 42,628.50

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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.