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Finding the Fourth Proportional to 51,118, 70,544.41 and 27,835.98

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Solution

The fourth proportional to 51,118, 70,544.41 and 27,835.98 is: 38,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,118 : 70,544.41 = 27,835.98 : x
  2. Step 2: Convert to fraction form
    51,118/70,544.41 = 27,835.98/x
  3. Step 3: Cross multiply
    51,118x = 70,544.41 × 27,835.98
  4. Step 4: Simplify right side
    51,118x = 1,963,672,785.87
  5. Step 5: Solve for x
    x = 1,963,672,785.87/51,118
  6. Step 6: Final answer
    x = 38,414.51

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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.