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Finding the Fourth Proportional to 74,305.98, 111,488.13 and 27,591.66

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Solution

The fourth proportional to 74,305.98, 111,488.13 and 27,591.66 is: 41,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,305.98 : 111,488.13 = 27,591.66 : x
  2. Step 2: Convert to fraction form
    74,305.98/111,488.13 = 27,591.66/x
  3. Step 3: Cross multiply
    74,305.98x = 111,488.13 × 27,591.66
  4. Step 4: Simplify right side
    74,305.98x = 3,076,142,577.00
  5. Step 5: Solve for x
    x = 3,076,142,577.00/74,305.98
  6. Step 6: Final answer
    x = 41,398.32

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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.