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Finding the Fourth Proportional to 32,344, 48,489.72 and 14,561.60

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Solution

The fourth proportional to 32,344, 48,489.72 and 14,561.60 is: 21,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,344 : 48,489.72 = 14,561.60 : x
  2. Step 2: Convert to fraction form
    32,344/48,489.72 = 14,561.60/x
  3. Step 3: Cross multiply
    32,344x = 48,489.72 × 14,561.60
  4. Step 4: Simplify right side
    32,344x = 706,087,906.75
  5. Step 5: Solve for x
    x = 706,087,906.75/32,344
  6. Step 6: Final answer
    x = 21,830.57

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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.