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Finding the Fourth Proportional to 73,147.50, 100,947.87 and 41,315.58

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Solution

The fourth proportional to 73,147.50, 100,947.87 and 41,315.58 is: 57,017.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,147.50 : 100,947.87 = 41,315.58 : x
  2. Step 2: Convert to fraction form
    73,147.50/100,947.87 = 41,315.58/x
  3. Step 3: Cross multiply
    73,147.50x = 100,947.87 × 41,315.58
  4. Step 4: Simplify right side
    73,147.50x = 4,170,719,798.81
  5. Step 5: Solve for x
    x = 4,170,719,798.81/73,147.50
  6. Step 6: Final answer
    x = 57,017.94

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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.