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Finding the Fourth Proportional to 80,843.64, 111,567.68 and 45,033.68

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Solution

The fourth proportional to 80,843.64, 111,567.68 and 45,033.68 is: 62,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,843.64 : 111,567.68 = 45,033.68 : x
  2. Step 2: Convert to fraction form
    80,843.64/111,567.68 = 45,033.68/x
  3. Step 3: Cross multiply
    80,843.64x = 111,567.68 × 45,033.68
  4. Step 4: Simplify right side
    80,843.64x = 5,024,302,416.46
  5. Step 5: Solve for x
    x = 5,024,302,416.46/80,843.64
  6. Step 6: Final answer
    x = 62,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.