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Finding the Fourth Proportional to 32,174.12, 48,274.96 and 16,602.68

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Solution

The fourth proportional to 32,174.12, 48,274.96 and 16,602.68 is: 24,911.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,174.12 : 48,274.96 = 16,602.68 : x
  2. Step 2: Convert to fraction form
    32,174.12/48,274.96 = 16,602.68/x
  3. Step 3: Cross multiply
    32,174.12x = 48,274.96 × 16,602.68
  4. Step 4: Simplify right side
    32,174.12x = 801,493,712.89
  5. Step 5: Solve for x
    x = 801,493,712.89/32,174.12
  6. Step 6: Final answer
    x = 24,911.13

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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.