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Finding the Fourth Proportional to 56,464.38, 77,920.63 and 34,949.84

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Solution

The fourth proportional to 56,464.38, 77,920.63 and 34,949.84 is: 48,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,464.38 : 77,920.63 = 34,949.84 : x
  2. Step 2: Convert to fraction form
    56,464.38/77,920.63 = 34,949.84/x
  3. Step 3: Cross multiply
    56,464.38x = 77,920.63 × 34,949.84
  4. Step 4: Simplify right side
    56,464.38x = 2,723,313,342.52
  5. Step 5: Solve for x
    x = 2,723,313,342.52/56,464.38
  6. Step 6: Final answer
    x = 48,230.65

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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.