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Finding the Fourth Proportional to 38,465.10, 57,697.65 and 32,244.30

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Solution

The fourth proportional to 38,465.10, 57,697.65 and 32,244.30 is: 48,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.10 : 57,697.65 = 32,244.30 : x
  2. Step 2: Convert to fraction form
    38,465.10/57,697.65 = 32,244.30/x
  3. Step 3: Cross multiply
    38,465.10x = 57,697.65 × 32,244.30
  4. Step 4: Simplify right side
    38,465.10x = 1,860,420,335.90
  5. Step 5: Solve for x
    x = 1,860,420,335.90/38,465.10
  6. Step 6: Final answer
    x = 48,366.45

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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.