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Finding the Fourth Proportional to 32,176.64, 48,199.26 and 16,561.46

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Solution

The fourth proportional to 32,176.64, 48,199.26 and 16,561.46 is: 24,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.64 : 48,199.26 = 16,561.46 : x
  2. Step 2: Convert to fraction form
    32,176.64/48,199.26 = 16,561.46/x
  3. Step 3: Cross multiply
    32,176.64x = 48,199.26 × 16,561.46
  4. Step 4: Simplify right side
    32,176.64x = 798,250,116.52
  5. Step 5: Solve for x
    x = 798,250,116.52/32,176.64
  6. Step 6: Final answer
    x = 24,808.37

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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.