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Finding the Fourth Proportional to 102,708.68, 154,050.86 and 27,824.18

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Solution

The fourth proportional to 102,708.68, 154,050.86 and 27,824.18 is: 41,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.68 : 154,050.86 = 27,824.18 : x
  2. Step 2: Convert to fraction form
    102,708.68/154,050.86 = 27,824.18/x
  3. Step 3: Cross multiply
    102,708.68x = 154,050.86 × 27,824.18
  4. Step 4: Simplify right side
    102,708.68x = 4,286,338,157.10
  5. Step 5: Solve for x
    x = 4,286,338,157.10/102,708.68
  6. Step 6: Final answer
    x = 41,732.97

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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.