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Finding the Fourth Proportional to 32,176.89, 48,199.63 and 16,561.71

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Solution

The fourth proportional to 32,176.89, 48,199.63 and 16,561.71 is: 24,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.89 : 48,199.63 = 16,561.71 : x
  2. Step 2: Convert to fraction form
    32,176.89/48,199.63 = 16,561.71/x
  3. Step 3: Cross multiply
    32,176.89x = 48,199.63 × 16,561.71
  4. Step 4: Simplify right side
    32,176.89x = 798,268,294.17
  5. Step 5: Solve for x
    x = 798,268,294.17/32,176.89
  6. Step 6: Final answer
    x = 24,808.75

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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.