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Finding the Fourth Proportional to 55,564.56, 83,320.92 and 32,197.68

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Solution

The fourth proportional to 55,564.56, 83,320.92 and 32,197.68 is: 48,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,564.56 : 83,320.92 = 32,197.68 : x
  2. Step 2: Convert to fraction form
    55,564.56/83,320.92 = 32,197.68/x
  3. Step 3: Cross multiply
    55,564.56x = 83,320.92 × 32,197.68
  4. Step 4: Simplify right side
    55,564.56x = 2,682,740,319.47
  5. Step 5: Solve for x
    x = 2,682,740,319.47/55,564.56
  6. Step 6: Final answer
    x = 48,281.50

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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.