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Finding the Fourth Proportional to 55,250.64, 82,881.36 and 17,811.36

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Solution

The fourth proportional to 55,250.64, 82,881.36 and 17,811.36 is: 26,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,250.64 : 82,881.36 = 17,811.36 : x
  2. Step 2: Convert to fraction form
    55,250.64/82,881.36 = 17,811.36/x
  3. Step 3: Cross multiply
    55,250.64x = 82,881.36 × 17,811.36
  4. Step 4: Simplify right side
    55,250.64x = 1,476,229,740.25
  5. Step 5: Solve for x
    x = 1,476,229,740.25/55,250.64
  6. Step 6: Final answer
    x = 26,718.78

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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.