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Finding the Fourth Proportional to 97,382.16, 146,076.86 and 27,259.64

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Solution

The fourth proportional to 97,382.16, 146,076.86 and 27,259.64 is: 40,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382.16 : 146,076.86 = 27,259.64 : x
  2. Step 2: Convert to fraction form
    97,382.16/146,076.86 = 27,259.64/x
  3. Step 3: Cross multiply
    97,382.16x = 146,076.86 × 27,259.64
  4. Step 4: Simplify right side
    97,382.16x = 3,982,002,615.93
  5. Step 5: Solve for x
    x = 3,982,002,615.93/97,382.16
  6. Step 6: Final answer
    x = 40,890.47

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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.