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Finding the Fourth Proportional to 47,140.67, 65,050.26 and 27,756.52

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Solution

The fourth proportional to 47,140.67, 65,050.26 and 27,756.52 is: 38,301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,140.67 : 65,050.26 = 27,756.52 : x
  2. Step 2: Convert to fraction form
    47,140.67/65,050.26 = 27,756.52/x
  3. Step 3: Cross multiply
    47,140.67x = 65,050.26 × 27,756.52
  4. Step 4: Simplify right side
    47,140.67x = 1,805,568,517.44
  5. Step 5: Solve for x
    x = 1,805,568,517.44/47,140.67
  6. Step 6: Final answer
    x = 38,301.72

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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.