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Finding the Fourth Proportional to 52,076.37, 71,865.02 and 28,202.49

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Solution

The fourth proportional to 52,076.37, 71,865.02 and 28,202.49 is: 38,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,076.37 : 71,865.02 = 28,202.49 : x
  2. Step 2: Convert to fraction form
    52,076.37/71,865.02 = 28,202.49/x
  3. Step 3: Cross multiply
    52,076.37x = 71,865.02 × 28,202.49
  4. Step 4: Simplify right side
    52,076.37x = 2,026,772,366.89
  5. Step 5: Solve for x
    x = 2,026,772,366.89/52,076.37
  6. Step 6: Final answer
    x = 38,919.23

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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.