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Finding the Fourth Proportional to 97,522.86, 146,258.78 and 27,385.78

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Solution

The fourth proportional to 97,522.86, 146,258.78 and 27,385.78 is: 41,071.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,522.86 : 146,258.78 = 27,385.78 : x
  2. Step 2: Convert to fraction form
    97,522.86/146,258.78 = 27,385.78/x
  3. Step 3: Cross multiply
    97,522.86x = 146,258.78 × 27,385.78
  4. Step 4: Simplify right side
    97,522.86x = 4,005,410,772.15
  5. Step 5: Solve for x
    x = 4,005,410,772.15/97,522.86
  6. Step 6: Final answer
    x = 41,071.51

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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.