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Finding the Fourth Proportional to 20,228.50, 30,342.71 and 5,437.42

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Solution

The fourth proportional to 20,228.50, 30,342.71 and 5,437.42 is: 8,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.50 : 30,342.71 = 5,437.42 : x
  2. Step 2: Convert to fraction form
    20,228.50/30,342.71 = 5,437.42/x
  3. Step 3: Cross multiply
    20,228.50x = 30,342.71 × 5,437.42
  4. Step 4: Simplify right side
    20,228.50x = 164,986,058.21
  5. Step 5: Solve for x
    x = 164,986,058.21/20,228.50
  6. Step 6: Final answer
    x = 8,156.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.