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Finding the Fourth Proportional to 32,299, 48,442.90 and 8,919.16

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Solution

The fourth proportional to 32,299, 48,442.90 and 8,919.16 is: 13,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,299 : 48,442.90 = 8,919.16 : x
  2. Step 2: Convert to fraction form
    32,299/48,442.90 = 8,919.16/x
  3. Step 3: Cross multiply
    32,299x = 48,442.90 × 8,919.16
  4. Step 4: Simplify right side
    32,299x = 432,069,975.96
  5. Step 5: Solve for x
    x = 432,069,975.96/32,299
  6. Step 6: Final answer
    x = 13,377.19

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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.