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Finding the Fourth Proportional to 35,727.88, 53,513.82 and 17,221

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Solution

The fourth proportional to 35,727.88, 53,513.82 and 17,221 is: 25,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,727.88 : 53,513.82 = 17,221 : x
  2. Step 2: Convert to fraction form
    35,727.88/53,513.82 = 17,221/x
  3. Step 3: Cross multiply
    35,727.88x = 53,513.82 × 17,221
  4. Step 4: Simplify right side
    35,727.88x = 921,561,494.22
  5. Step 5: Solve for x
    x = 921,561,494.22/35,727.88
  6. Step 6: Final answer
    x = 25,793.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.