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Finding the Fourth Proportional to 34,162.86, 51,317.13 and 32,165.40

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Solution

The fourth proportional to 34,162.86, 51,317.13 and 32,165.40 is: 48,316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,162.86 : 51,317.13 = 32,165.40 : x
  2. Step 2: Convert to fraction form
    34,162.86/51,317.13 = 32,165.40/x
  3. Step 3: Cross multiply
    34,162.86x = 51,317.13 × 32,165.40
  4. Step 4: Simplify right side
    34,162.86x = 1,650,636,013.30
  5. Step 5: Solve for x
    x = 1,650,636,013.30/34,162.86
  6. Step 6: Final answer
    x = 48,316.68

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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.