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Finding the Fourth Proportional to 54,049, 81,073.86 and 17,113

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Solution

The fourth proportional to 54,049, 81,073.86 and 17,113 is: 25,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,049 : 81,073.86 = 17,113 : x
  2. Step 2: Convert to fraction form
    54,049/81,073.86 = 17,113/x
  3. Step 3: Cross multiply
    54,049x = 81,073.86 × 17,113
  4. Step 4: Simplify right side
    54,049x = 1,387,416,966.18
  5. Step 5: Solve for x
    x = 1,387,416,966.18/54,049
  6. Step 6: Final answer
    x = 25,669.61

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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.