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Finding the Fourth Proportional to 32,452.58, 48,678.88 and 9,082.46

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Solution

The fourth proportional to 32,452.58, 48,678.88 and 9,082.46 is: 13,623.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,452.58 : 48,678.88 = 9,082.46 : x
  2. Step 2: Convert to fraction form
    32,452.58/48,678.88 = 9,082.46/x
  3. Step 3: Cross multiply
    32,452.58x = 48,678.88 × 9,082.46
  4. Step 4: Simplify right side
    32,452.58x = 442,123,980.44
  5. Step 5: Solve for x
    x = 442,123,980.44/32,452.58
  6. Step 6: Final answer
    x = 13,623.69

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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.