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Finding the Fourth Proportional to 32,077.50, 48,080.40 and 13,344.79

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Solution

The fourth proportional to 32,077.50, 48,080.40 and 13,344.79 is: 20,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.50 : 48,080.40 = 13,344.79 : x
  2. Step 2: Convert to fraction form
    32,077.50/48,080.40 = 13,344.79/x
  3. Step 3: Cross multiply
    32,077.50x = 48,080.40 × 13,344.79
  4. Step 4: Simplify right side
    32,077.50x = 641,622,841.12
  5. Step 5: Solve for x
    x = 641,622,841.12/32,077.50
  6. Step 6: Final answer
    x = 20,002.27

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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.