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Finding the Fourth Proportional to 35,894.96, 53,842.56 and 17,414

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Solution

The fourth proportional to 35,894.96, 53,842.56 and 17,414 is: 26,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.96 : 53,842.56 = 17,414 : x
  2. Step 2: Convert to fraction form
    35,894.96/53,842.56 = 17,414/x
  3. Step 3: Cross multiply
    35,894.96x = 53,842.56 × 17,414
  4. Step 4: Simplify right side
    35,894.96x = 937,614,339.84
  5. Step 5: Solve for x
    x = 937,614,339.84/35,894.96
  6. Step 6: Final answer
    x = 26,121.06

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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.