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Finding the Fourth Proportional to 100,644.16, 150,931.68 and 38,332.48

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Solution

The fourth proportional to 100,644.16, 150,931.68 and 38,332.48 is: 57,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.16 : 150,931.68 = 38,332.48 : x
  2. Step 2: Convert to fraction form
    100,644.16/150,931.68 = 38,332.48/x
  3. Step 3: Cross multiply
    100,644.16x = 150,931.68 × 38,332.48
  4. Step 4: Simplify right side
    100,644.16x = 5,785,585,604.97
  5. Step 5: Solve for x
    x = 5,785,585,604.97/100,644.16
  6. Step 6: Final answer
    x = 57,485.56

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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.