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Finding the Fourth Proportional to 49,329.60, 73,945.80 and 24,349.20

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Solution

The fourth proportional to 49,329.60, 73,945.80 and 24,349.20 is: 36,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,329.60 : 73,945.80 = 24,349.20 : x
  2. Step 2: Convert to fraction form
    49,329.60/73,945.80 = 24,349.20/x
  3. Step 3: Cross multiply
    49,329.60x = 73,945.80 × 24,349.20
  4. Step 4: Simplify right side
    49,329.60x = 1,800,521,073.36
  5. Step 5: Solve for x
    x = 1,800,521,073.36/49,329.60
  6. Step 6: Final answer
    x = 36,499.81

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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.