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Finding the Fourth Proportional to 51,380.38, 70,904.90 and 30,159.65

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Solution

The fourth proportional to 51,380.38, 70,904.90 and 30,159.65 is: 41,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,380.38 : 70,904.90 = 30,159.65 : x
  2. Step 2: Convert to fraction form
    51,380.38/70,904.90 = 30,159.65/x
  3. Step 3: Cross multiply
    51,380.38x = 70,904.90 × 30,159.65
  4. Step 4: Simplify right side
    51,380.38x = 2,138,466,612.76
  5. Step 5: Solve for x
    x = 2,138,466,612.76/51,380.38
  6. Step 6: Final answer
    x = 41,620.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.