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Finding the Fourth Proportional to 55,157.70, 82,717.98 and 17,708.58

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Solution

The fourth proportional to 55,157.70, 82,717.98 and 17,708.58 is: 26,556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,157.70 : 82,717.98 = 17,708.58 : x
  2. Step 2: Convert to fraction form
    55,157.70/82,717.98 = 17,708.58/x
  3. Step 3: Cross multiply
    55,157.70x = 82,717.98 × 17,708.58
  4. Step 4: Simplify right side
    55,157.70x = 1,464,817,966.27
  5. Step 5: Solve for x
    x = 1,464,817,966.27/55,157.70
  6. Step 6: Final answer
    x = 26,556.91

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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.