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Finding the Fourth Proportional to 49,258, 67,976.40 and 26,902

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Solution

The fourth proportional to 49,258, 67,976.40 and 26,902 is: 37,124.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258 : 67,976.40 = 26,902 : x
  2. Step 2: Convert to fraction form
    49,258/67,976.40 = 26,902/x
  3. Step 3: Cross multiply
    49,258x = 67,976.40 × 26,902
  4. Step 4: Simplify right side
    49,258x = 1,828,701,112.80
  5. Step 5: Solve for x
    x = 1,828,701,112.80/49,258
  6. Step 6: Final answer
    x = 37,124.96

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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.