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Finding the Fourth Proportional to 74,477.20, 111,424.20 and 48,233.20

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Solution

The fourth proportional to 74,477.20, 111,424.20 and 48,233.20 is: 72,160.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,477.20 : 111,424.20 = 48,233.20 : x
  2. Step 2: Convert to fraction form
    74,477.20/111,424.20 = 48,233.20/x
  3. Step 3: Cross multiply
    74,477.20x = 111,424.20 × 48,233.20
  4. Step 4: Simplify right side
    74,477.20x = 5,374,345,723.44
  5. Step 5: Solve for x
    x = 5,374,345,723.44/74,477.20
  6. Step 6: Final answer
    x = 72,160.95

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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.