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Finding the Fourth Proportional to 51,119.50, 70,546.47 and 27,837.48

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Solution

The fourth proportional to 51,119.50, 70,546.47 and 27,837.48 is: 38,416.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,119.50 : 70,546.47 = 27,837.48 : x
  2. Step 2: Convert to fraction form
    51,119.50/70,546.47 = 27,837.48/x
  3. Step 3: Cross multiply
    51,119.50x = 70,546.47 × 27,837.48
  4. Step 4: Simplify right side
    51,119.50x = 1,963,835,947.70
  5. Step 5: Solve for x
    x = 1,963,835,947.70/51,119.50
  6. Step 6: Final answer
    x = 38,416.57

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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.