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Finding the Fourth Proportional to 55,299.52, 82,918.48 and 32,819.32

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Solution

The fourth proportional to 55,299.52, 82,918.48 and 32,819.32 is: 49,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,299.52 : 82,918.48 = 32,819.32 : x
  2. Step 2: Convert to fraction form
    55,299.52/82,918.48 = 32,819.32/x
  3. Step 3: Cross multiply
    55,299.52x = 82,918.48 × 32,819.32
  4. Step 4: Simplify right side
    55,299.52x = 2,721,328,129.03
  5. Step 5: Solve for x
    x = 2,721,328,129.03/55,299.52
  6. Step 6: Final answer
    x = 49,210.70

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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.