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Finding the Fourth Proportional to 144,048.52, 216,072.78 and 38,867.49

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Solution

The fourth proportional to 144,048.52, 216,072.78 and 38,867.49 is: 58,301.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,048.52 : 216,072.78 = 38,867.49 : x
  2. Step 2: Convert to fraction form
    144,048.52/216,072.78 = 38,867.49/x
  3. Step 3: Cross multiply
    144,048.52x = 216,072.78 × 38,867.49
  4. Step 4: Simplify right side
    144,048.52x = 8,398,206,615.92
  5. Step 5: Solve for x
    x = 8,398,206,615.92/144,048.52
  6. Step 6: Final answer
    x = 58,301.24

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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.