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Finding the Fourth Proportional to 59,854.80, 82,596 and 32,998.48

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Solution

The fourth proportional to 59,854.80, 82,596 and 32,998.48 is: 45,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,854.80 : 82,596 = 32,998.48 : x
  2. Step 2: Convert to fraction form
    59,854.80/82,596 = 32,998.48/x
  3. Step 3: Cross multiply
    59,854.80x = 82,596 × 32,998.48
  4. Step 4: Simplify right side
    59,854.80x = 2,725,542,454.08
  5. Step 5: Solve for x
    x = 2,725,542,454.08/59,854.80
  6. Step 6: Final answer
    x = 45,535.90

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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.