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Finding the Fourth Proportional to 48,786.17, 67,326.21 and 27,564.98

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Solution

The fourth proportional to 48,786.17, 67,326.21 and 27,564.98 is: 38,040.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,786.17 : 67,326.21 = 27,564.98 : x
  2. Step 2: Convert to fraction form
    48,786.17/67,326.21 = 27,564.98/x
  3. Step 3: Cross multiply
    48,786.17x = 67,326.21 × 27,564.98
  4. Step 4: Simplify right side
    48,786.17x = 1,855,845,295.49
  5. Step 5: Solve for x
    x = 1,855,845,295.49/48,786.17
  6. Step 6: Final answer
    x = 38,040.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.