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Finding the Fourth Proportional to 100,502.36, 150,747.06 and 38,171.24

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Solution

The fourth proportional to 100,502.36, 150,747.06 and 38,171.24 is: 57,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,502.36 : 150,747.06 = 38,171.24 : x
  2. Step 2: Convert to fraction form
    100,502.36/150,747.06 = 38,171.24/x
  3. Step 3: Cross multiply
    100,502.36x = 150,747.06 × 38,171.24
  4. Step 4: Simplify right side
    100,502.36x = 5,754,202,206.55
  5. Step 5: Solve for x
    x = 5,754,202,206.55/100,502.36
  6. Step 6: Final answer
    x = 57,254.40

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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.