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Finding the Fourth Proportional to 50,856.78, 70,186.51 and 28,202.88

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Solution

The fourth proportional to 50,856.78, 70,186.51 and 28,202.88 is: 38,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,856.78 : 70,186.51 = 28,202.88 : x
  2. Step 2: Convert to fraction form
    50,856.78/70,186.51 = 28,202.88/x
  3. Step 3: Cross multiply
    50,856.78x = 70,186.51 × 28,202.88
  4. Step 4: Simplify right side
    50,856.78x = 1,979,461,465.06
  5. Step 5: Solve for x
    x = 1,979,461,465.06/50,856.78
  6. Step 6: Final answer
    x = 38,922.27

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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.