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Finding the Fourth Proportional to 32,084.48, 48,123.04 and 8,394.31

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Solution

The fourth proportional to 32,084.48, 48,123.04 and 8,394.31 is: 12,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.48 : 48,123.04 = 8,394.31 : x
  2. Step 2: Convert to fraction form
    32,084.48/48,123.04 = 8,394.31/x
  3. Step 3: Cross multiply
    32,084.48x = 48,123.04 × 8,394.31
  4. Step 4: Simplify right side
    32,084.48x = 403,959,850.29
  5. Step 5: Solve for x
    x = 403,959,850.29/32,084.48
  6. Step 6: Final answer
    x = 12,590.51

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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.