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Finding the Fourth Proportional to 71,834.15, 107,751.03 and 32,345.03

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Solution

The fourth proportional to 71,834.15, 107,751.03 and 32,345.03 is: 48,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,834.15 : 107,751.03 = 32,345.03 : x
  2. Step 2: Convert to fraction form
    71,834.15/107,751.03 = 32,345.03/x
  3. Step 3: Cross multiply
    71,834.15x = 107,751.03 × 32,345.03
  4. Step 4: Simplify right side
    71,834.15x = 3,485,210,445.96
  5. Step 5: Solve for x
    x = 3,485,210,445.96/71,834.15
  6. Step 6: Final answer
    x = 48,517.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.