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Finding the Fourth Proportional to 32,541.42, 48,815.01 and 9,168.06

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Solution

The fourth proportional to 32,541.42, 48,815.01 and 9,168.06 is: 13,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.42 : 48,815.01 = 9,168.06 : x
  2. Step 2: Convert to fraction form
    32,541.42/48,815.01 = 9,168.06/x
  3. Step 3: Cross multiply
    32,541.42x = 48,815.01 × 9,168.06
  4. Step 4: Simplify right side
    32,541.42x = 447,538,940.58
  5. Step 5: Solve for x
    x = 447,538,940.58/32,541.42
  6. Step 6: Final answer
    x = 13,752.90

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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.