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Finding the Fourth Proportional to 37,073.19, 51,160.38 and 20,077.30

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Solution

The fourth proportional to 37,073.19, 51,160.38 and 20,077.30 is: 27,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,073.19 : 51,160.38 = 20,077.30 : x
  2. Step 2: Convert to fraction form
    37,073.19/51,160.38 = 20,077.30/x
  3. Step 3: Cross multiply
    37,073.19x = 51,160.38 × 20,077.30
  4. Step 4: Simplify right side
    37,073.19x = 1,027,162,156.94
  5. Step 5: Solve for x
    x = 1,027,162,156.94/37,073.19
  6. Step 6: Final answer
    x = 27,706.33

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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.