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Finding the Fourth Proportional to 75,064.06, 112,532.50 and 32,912.20

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Solution

The fourth proportional to 75,064.06, 112,532.50 and 32,912.20 is: 49,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,064.06 : 112,532.50 = 32,912.20 : x
  2. Step 2: Convert to fraction form
    75,064.06/112,532.50 = 32,912.20/x
  3. Step 3: Cross multiply
    75,064.06x = 112,532.50 × 32,912.20
  4. Step 4: Simplify right side
    75,064.06x = 3,703,692,146.50
  5. Step 5: Solve for x
    x = 3,703,692,146.50/75,064.06
  6. Step 6: Final answer
    x = 49,340.42

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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.