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Finding the Fourth Proportional to 97,806.64, 146,709.96 and 27,686.56

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Solution

The fourth proportional to 97,806.64, 146,709.96 and 27,686.56 is: 41,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,806.64 : 146,709.96 = 27,686.56 : x
  2. Step 2: Convert to fraction form
    97,806.64/146,709.96 = 27,686.56/x
  3. Step 3: Cross multiply
    97,806.64x = 146,709.96 × 27,686.56
  4. Step 4: Simplify right side
    97,806.64x = 4,061,894,110.14
  5. Step 5: Solve for x
    x = 4,061,894,110.14/97,806.64
  6. Step 6: Final answer
    x = 41,529.84

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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.