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Finding the Fourth Proportional to 51,499.44, 77,229.72 and 23,778

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Solution

The fourth proportional to 51,499.44, 77,229.72 and 23,778 is: 35,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,499.44 : 77,229.72 = 23,778 : x
  2. Step 2: Convert to fraction form
    51,499.44/77,229.72 = 23,778/x
  3. Step 3: Cross multiply
    51,499.44x = 77,229.72 × 23,778
  4. Step 4: Simplify right side
    51,499.44x = 1,836,368,282.16
  5. Step 5: Solve for x
    x = 1,836,368,282.16/51,499.44
  6. Step 6: Final answer
    x = 35,658.02

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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.