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Finding the Fourth Proportional to 32,230.32, 48,339 and 8,853.72

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Solution

The fourth proportional to 32,230.32, 48,339 and 8,853.72 is: 13,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,230.32 : 48,339 = 8,853.72 : x
  2. Step 2: Convert to fraction form
    32,230.32/48,339 = 8,853.72/x
  3. Step 3: Cross multiply
    32,230.32x = 48,339 × 8,853.72
  4. Step 4: Simplify right side
    32,230.32x = 427,979,971.08
  5. Step 5: Solve for x
    x = 427,979,971.08/32,230.32
  6. Step 6: Final answer
    x = 13,278.80

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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.