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Finding the Fourth Proportional to 32,296, 48,438.40 and 8,916.16

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Solution

The fourth proportional to 32,296, 48,438.40 and 8,916.16 is: 13,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296 : 48,438.40 = 8,916.16 : x
  2. Step 2: Convert to fraction form
    32,296/48,438.40 = 8,916.16/x
  3. Step 3: Cross multiply
    32,296x = 48,438.40 × 8,916.16
  4. Step 4: Simplify right side
    32,296x = 431,884,524.54
  5. Step 5: Solve for x
    x = 431,884,524.54/32,296
  6. Step 6: Final answer
    x = 13,372.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.