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Finding the Fourth Proportional to 32,431.40, 48,647.10 and 20,767.40

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Solution

The fourth proportional to 32,431.40, 48,647.10 and 20,767.40 is: 31,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,431.40 : 48,647.10 = 20,767.40 : x
  2. Step 2: Convert to fraction form
    32,431.40/48,647.10 = 20,767.40/x
  3. Step 3: Cross multiply
    32,431.40x = 48,647.10 × 20,767.40
  4. Step 4: Simplify right side
    32,431.40x = 1,010,273,784.54
  5. Step 5: Solve for x
    x = 1,010,273,784.54/32,431.40
  6. Step 6: Final answer
    x = 31,151.10

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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.