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Finding the Fourth Proportional to 37,679.54, 51,978.14 and 22,357.20

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Solution

The fourth proportional to 37,679.54, 51,978.14 and 22,357.20 is: 30,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,679.54 : 51,978.14 = 22,357.20 : x
  2. Step 2: Convert to fraction form
    37,679.54/51,978.14 = 22,357.20/x
  3. Step 3: Cross multiply
    37,679.54x = 51,978.14 × 22,357.20
  4. Step 4: Simplify right side
    37,679.54x = 1,162,085,671.61
  5. Step 5: Solve for x
    x = 1,162,085,671.61/37,679.54
  6. Step 6: Final answer
    x = 30,841.29

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1.5x scale

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.