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Finding the Fourth Proportional to 32,548.56, 48,816 and 9,168.72

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Solution

The fourth proportional to 32,548.56, 48,816 and 9,168.72 is: 13,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.56 : 48,816 = 9,168.72 : x
  2. Step 2: Convert to fraction form
    32,548.56/48,816 = 9,168.72/x
  3. Step 3: Cross multiply
    32,548.56x = 48,816 × 9,168.72
  4. Step 4: Simplify right side
    32,548.56x = 447,580,235.52
  5. Step 5: Solve for x
    x = 447,580,235.52/32,548.56
  6. Step 6: Final answer
    x = 13,751.15

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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.