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Finding the Fourth Proportional to 91,398.21, 137,046.38 and 28,200.39

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Solution

The fourth proportional to 91,398.21, 137,046.38 and 28,200.39 is: 42,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,398.21 : 137,046.38 = 28,200.39 : x
  2. Step 2: Convert to fraction form
    91,398.21/137,046.38 = 28,200.39/x
  3. Step 3: Cross multiply
    91,398.21x = 137,046.38 × 28,200.39
  4. Step 4: Simplify right side
    91,398.21x = 3,864,761,223.09
  5. Step 5: Solve for x
    x = 3,864,761,223.09/91,398.21
  6. Step 6: Final answer
    x = 42,284.87

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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.