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Finding the Fourth Proportional to 37,850.34, 52,193.88 and 28,275.22

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Solution

The fourth proportional to 37,850.34, 52,193.88 and 28,275.22 is: 38,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,850.34 : 52,193.88 = 28,275.22 : x
  2. Step 2: Convert to fraction form
    37,850.34/52,193.88 = 28,275.22/x
  3. Step 3: Cross multiply
    37,850.34x = 52,193.88 × 28,275.22
  4. Step 4: Simplify right side
    37,850.34x = 1,475,793,439.65
  5. Step 5: Solve for x
    x = 1,475,793,439.65/37,850.34
  6. Step 6: Final answer
    x = 38,990.23

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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.