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Finding the Fourth Proportional to 47,894.73, 66,096.78 and 26,674

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Solution

The fourth proportional to 47,894.73, 66,096.78 and 26,674 is: 36,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,894.73 : 66,096.78 = 26,674 : x
  2. Step 2: Convert to fraction form
    47,894.73/66,096.78 = 26,674/x
  3. Step 3: Cross multiply
    47,894.73x = 66,096.78 × 26,674
  4. Step 4: Simplify right side
    47,894.73x = 1,763,065,509.72
  5. Step 5: Solve for x
    x = 1,763,065,509.72/47,894.73
  6. Step 6: Final answer
    x = 36,811.26

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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.