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Finding the Fourth Proportional to 32,448, 44,778.24 and 17,544

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Solution

The fourth proportional to 32,448, 44,778.24 and 17,544 is: 24,210.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448 : 44,778.24 = 17,544 : x
  2. Step 2: Convert to fraction form
    32,448/44,778.24 = 17,544/x
  3. Step 3: Cross multiply
    32,448x = 44,778.24 × 17,544
  4. Step 4: Simplify right side
    32,448x = 785,589,442.56
  5. Step 5: Solve for x
    x = 785,589,442.56/32,448
  6. Step 6: Final answer
    x = 24,210.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.