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Finding the Fourth Proportional to 32,257.12, 48,392.16 and 11,480.08

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Solution

The fourth proportional to 32,257.12, 48,392.16 and 11,480.08 is: 17,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.12 : 48,392.16 = 11,480.08 : x
  2. Step 2: Convert to fraction form
    32,257.12/48,392.16 = 11,480.08/x
  3. Step 3: Cross multiply
    32,257.12x = 48,392.16 × 11,480.08
  4. Step 4: Simplify right side
    32,257.12x = 555,545,868.17
  5. Step 5: Solve for x
    x = 555,545,868.17/32,257.12
  6. Step 6: Final answer
    x = 17,222.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.