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Finding the Fourth Proportional to 73,827.20, 110,665.20 and 36,329.60

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Solution

The fourth proportional to 73,827.20, 110,665.20 and 36,329.60 is: 54,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,827.20 : 110,665.20 = 36,329.60 : x
  2. Step 2: Convert to fraction form
    73,827.20/110,665.20 = 36,329.60/x
  3. Step 3: Cross multiply
    73,827.20x = 110,665.20 × 36,329.60
  4. Step 4: Simplify right side
    73,827.20x = 4,020,422,449.92
  5. Step 5: Solve for x
    x = 4,020,422,449.92/73,827.20
  6. Step 6: Final answer
    x = 54,457.20

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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.