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Finding the Fourth Proportional to 51,649.92, 77,591.52 and 44,651.52

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Solution

The fourth proportional to 51,649.92, 77,591.52 and 44,651.52 is: 67,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,649.92 : 77,591.52 = 44,651.52 : x
  2. Step 2: Convert to fraction form
    51,649.92/77,591.52 = 44,651.52/x
  3. Step 3: Cross multiply
    51,649.92x = 77,591.52 × 44,651.52
  4. Step 4: Simplify right side
    51,649.92x = 3,464,579,307.11
  5. Step 5: Solve for x
    x = 3,464,579,307.11/51,649.92
  6. Step 6: Final answer
    x = 67,078.12

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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.