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Finding the Fourth Proportional to 32,084.16, 48,093.92 and 13,374.55

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Solution

The fourth proportional to 32,084.16, 48,093.92 and 13,374.55 is: 20,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,084.16 : 48,093.92 = 13,374.55 : x
  2. Step 2: Convert to fraction form
    32,084.16/48,093.92 = 13,374.55/x
  3. Step 3: Cross multiply
    32,084.16x = 48,093.92 × 13,374.55
  4. Step 4: Simplify right side
    32,084.16x = 643,234,537.74
  5. Step 5: Solve for x
    x = 643,234,537.74/32,084.16
  6. Step 6: Final answer
    x = 20,048.35

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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.