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Finding the Fourth Proportional to 73,535.40, 110,270.70 and 29,147.40

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Solution

The fourth proportional to 73,535.40, 110,270.70 and 29,147.40 is: 43,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,535.40 : 110,270.70 = 29,147.40 : x
  2. Step 2: Convert to fraction form
    73,535.40/110,270.70 = 29,147.40/x
  3. Step 3: Cross multiply
    73,535.40x = 110,270.70 × 29,147.40
  4. Step 4: Simplify right side
    73,535.40x = 3,214,104,201.18
  5. Step 5: Solve for x
    x = 3,214,104,201.18/73,535.40
  6. Step 6: Final answer
    x = 43,708.26

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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.