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Finding the Fourth Proportional to 50,855.31, 70,184.46 and 28,201.40

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Solution

The fourth proportional to 50,855.31, 70,184.46 and 28,201.40 is: 38,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,855.31 : 70,184.46 = 28,201.40 : x
  2. Step 2: Convert to fraction form
    50,855.31/70,184.46 = 28,201.40/x
  3. Step 3: Cross multiply
    50,855.31x = 70,184.46 × 28,201.40
  4. Step 4: Simplify right side
    50,855.31x = 1,979,299,679.32
  5. Step 5: Solve for x
    x = 1,979,299,679.32/50,855.31
  6. Step 6: Final answer
    x = 38,920.22

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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.