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Finding the Fourth Proportional to 97,561.32, 146,342 and 27,440.64

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Solution

The fourth proportional to 97,561.32, 146,342 and 27,440.64 is: 41,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,561.32 : 146,342 = 27,440.64 : x
  2. Step 2: Convert to fraction form
    97,561.32/146,342 = 27,440.64/x
  3. Step 3: Cross multiply
    97,561.32x = 146,342 × 27,440.64
  4. Step 4: Simplify right side
    97,561.32x = 4,015,718,138.88
  5. Step 5: Solve for x
    x = 4,015,718,138.88/97,561.32
  6. Step 6: Final answer
    x = 41,160.97

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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.