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Finding the Fourth Proportional to 51,346.44, 77,046.74 and 36,449.76

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Solution

The fourth proportional to 51,346.44, 77,046.74 and 36,449.76 is: 54,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,346.44 : 77,046.74 = 36,449.76 : x
  2. Step 2: Convert to fraction form
    51,346.44/77,046.74 = 36,449.76/x
  3. Step 3: Cross multiply
    51,346.44x = 77,046.74 × 36,449.76
  4. Step 4: Simplify right side
    51,346.44x = 2,808,335,181.78
  5. Step 5: Solve for x
    x = 2,808,335,181.78/51,346.44
  6. Step 6: Final answer
    x = 54,693.86

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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.