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Finding the Fourth Proportional to 34,258.96, 47,278.92 and 26,794

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Solution

The fourth proportional to 34,258.96, 47,278.92 and 26,794 is: 36,976.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,258.96 : 47,278.92 = 26,794 : x
  2. Step 2: Convert to fraction form
    34,258.96/47,278.92 = 26,794/x
  3. Step 3: Cross multiply
    34,258.96x = 47,278.92 × 26,794
  4. Step 4: Simplify right side
    34,258.96x = 1,266,791,382.48
  5. Step 5: Solve for x
    x = 1,266,791,382.48/34,258.96
  6. Step 6: Final answer
    x = 36,976.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.