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Finding the Fourth Proportional to 39,476.88, 59,224.56 and 27,002.78

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Solution

The fourth proportional to 39,476.88, 59,224.56 and 27,002.78 is: 40,510.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476.88 : 59,224.56 = 27,002.78 : x
  2. Step 2: Convert to fraction form
    39,476.88/59,224.56 = 27,002.78/x
  3. Step 3: Cross multiply
    39,476.88x = 59,224.56 × 27,002.78
  4. Step 4: Simplify right side
    39,476.88x = 1,599,227,764.28
  5. Step 5: Solve for x
    x = 1,599,227,764.28/39,476.88
  6. Step 6: Final answer
    x = 40,510.49

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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.