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Finding the Fourth Proportional to 67,828.40, 101,750.76 and 32,743.40

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Solution

The fourth proportional to 67,828.40, 101,750.76 and 32,743.40 is: 49,119.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828.40 : 101,750.76 = 32,743.40 : x
  2. Step 2: Convert to fraction form
    67,828.40/101,750.76 = 32,743.40/x
  3. Step 3: Cross multiply
    67,828.40x = 101,750.76 × 32,743.40
  4. Step 4: Simplify right side
    67,828.40x = 3,331,665,834.98
  5. Step 5: Solve for x
    x = 3,331,665,834.98/67,828.40
  6. Step 6: Final answer
    x = 49,119.04

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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.