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Finding the Fourth Proportional to 55,103.46, 82,662.98 and 17,654.78

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Solution

The fourth proportional to 55,103.46, 82,662.98 and 17,654.78 is: 26,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,103.46 : 82,662.98 = 17,654.78 : x
  2. Step 2: Convert to fraction form
    55,103.46/82,662.98 = 17,654.78/x
  3. Step 3: Cross multiply
    55,103.46x = 82,662.98 × 17,654.78
  4. Step 4: Simplify right side
    55,103.46x = 1,459,396,726.04
  5. Step 5: Solve for x
    x = 1,459,396,726.04/55,103.46
  6. Step 6: Final answer
    x = 26,484.67

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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.