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Finding the Fourth Proportional to 32,335.40, 48,471.66 and 15,464.04

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Solution

The fourth proportional to 32,335.40, 48,471.66 and 15,464.04 is: 23,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,335.40 : 48,471.66 = 15,464.04 : x
  2. Step 2: Convert to fraction form
    32,335.40/48,471.66 = 15,464.04/x
  3. Step 3: Cross multiply
    32,335.40x = 48,471.66 × 15,464.04
  4. Step 4: Simplify right side
    32,335.40x = 749,567,689.11
  5. Step 5: Solve for x
    x = 749,567,689.11/32,335.40
  6. Step 6: Final answer
    x = 23,181.02

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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.