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Finding the Fourth Proportional to 67,828.90, 101,751.51 and 32,743.90

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Solution

The fourth proportional to 67,828.90, 101,751.51 and 32,743.90 is: 49,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,828.90 : 101,751.51 = 32,743.90 : x
  2. Step 2: Convert to fraction form
    67,828.90/101,751.51 = 32,743.90/x
  3. Step 3: Cross multiply
    67,828.90x = 101,751.51 × 32,743.90
  4. Step 4: Simplify right side
    67,828.90x = 3,331,741,268.29
  5. Step 5: Solve for x
    x = 3,331,741,268.29/67,828.90
  6. Step 6: Final answer
    x = 49,119.79

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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.