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Finding the Fourth Proportional to 37,591, 51,862.68 and 21,446.70

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Solution

The fourth proportional to 37,591, 51,862.68 and 21,446.70 is: 29,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,591 : 51,862.68 = 21,446.70 : x
  2. Step 2: Convert to fraction form
    37,591/51,862.68 = 21,446.70/x
  3. Step 3: Cross multiply
    37,591x = 51,862.68 × 21,446.70
  4. Step 4: Simplify right side
    37,591x = 1,112,283,339.16
  5. Step 5: Solve for x
    x = 1,112,283,339.16/37,591
  6. Step 6: Final answer
    x = 29,589.09

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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.