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Finding the Fourth Proportional to 97,706.68, 146,565.96 and 27,591.28

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Solution

The fourth proportional to 97,706.68, 146,565.96 and 27,591.28 is: 41,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.68 : 146,565.96 = 27,591.28 : x
  2. Step 2: Convert to fraction form
    97,706.68/146,565.96 = 27,591.28/x
  3. Step 3: Cross multiply
    97,706.68x = 146,565.96 × 27,591.28
  4. Step 4: Simplify right side
    97,706.68x = 4,043,942,440.83
  5. Step 5: Solve for x
    x = 4,043,942,440.83/97,706.68
  6. Step 6: Final answer
    x = 41,388.60

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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.