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Finding the Fourth Proportional to 55,207.68, 82,828.10 and 17,255.41

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Solution

The fourth proportional to 55,207.68, 82,828.10 and 17,255.41 is: 25,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,207.68 : 82,828.10 = 17,255.41 : x
  2. Step 2: Convert to fraction form
    55,207.68/82,828.10 = 17,255.41/x
  3. Step 3: Cross multiply
    55,207.68x = 82,828.10 × 17,255.41
  4. Step 4: Simplify right side
    55,207.68x = 1,429,233,127.00
  5. Step 5: Solve for x
    x = 1,429,233,127.00/55,207.68
  6. Step 6: Final answer
    x = 25,888.30

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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.