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Finding the Fourth Proportional to 32,441.38, 48,681.29 and 13,720.39

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Solution

The fourth proportional to 32,441.38, 48,681.29 and 13,720.39 is: 20,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,441.38 : 48,681.29 = 13,720.39 : x
  2. Step 2: Convert to fraction form
    32,441.38/48,681.29 = 13,720.39/x
  3. Step 3: Cross multiply
    32,441.38x = 48,681.29 × 13,720.39
  4. Step 4: Simplify right side
    32,441.38x = 667,926,284.50
  5. Step 5: Solve for x
    x = 667,926,284.50/32,441.38
  6. Step 6: Final answer
    x = 20,588.71

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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.