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Finding the Fourth Proportional to 72,357.20, 108,535.80 and 32,991.20

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Solution

The fourth proportional to 72,357.20, 108,535.80 and 32,991.20 is: 49,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,357.20 : 108,535.80 = 32,991.20 : x
  2. Step 2: Convert to fraction form
    72,357.20/108,535.80 = 32,991.20/x
  3. Step 3: Cross multiply
    72,357.20x = 108,535.80 × 32,991.20
  4. Step 4: Simplify right side
    72,357.20x = 3,580,726,284.96
  5. Step 5: Solve for x
    x = 3,580,726,284.96/72,357.20
  6. Step 6: Final answer
    x = 49,486.80

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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.