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Finding the Fourth Proportional to 54,859.74, 82,258.82 and 17,412.83

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Solution

The fourth proportional to 54,859.74, 82,258.82 and 17,412.83 is: 26,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.74 : 82,258.82 = 17,412.83 : x
  2. Step 2: Convert to fraction form
    54,859.74/82,258.82 = 17,412.83/x
  3. Step 3: Cross multiply
    54,859.74x = 82,258.82 × 17,412.83
  4. Step 4: Simplify right side
    54,859.74x = 1,432,358,848.66
  5. Step 5: Solve for x
    x = 1,432,358,848.66/54,859.74
  6. Step 6: Final answer
    x = 26,109.47

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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.