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Finding the Fourth Proportional to 32,367.33, 48,557 and 12,644.70

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Solution

The fourth proportional to 32,367.33, 48,557 and 12,644.70 is: 18,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,367.33 : 48,557 = 12,644.70 : x
  2. Step 2: Convert to fraction form
    32,367.33/48,557 = 12,644.70/x
  3. Step 3: Cross multiply
    32,367.33x = 48,557 × 12,644.70
  4. Step 4: Simplify right side
    32,367.33x = 613,988,697.90
  5. Step 5: Solve for x
    x = 613,988,697.90/32,367.33
  6. Step 6: Final answer
    x = 18,969.40

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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.