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Finding the Fourth Proportional to 37,682.88, 52,004.16 and 20,916

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Solution

The fourth proportional to 37,682.88, 52,004.16 and 20,916 is: 28,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682.88 : 52,004.16 = 20,916 : x
  2. Step 2: Convert to fraction form
    37,682.88/52,004.16 = 20,916/x
  3. Step 3: Cross multiply
    37,682.88x = 52,004.16 × 20,916
  4. Step 4: Simplify right side
    37,682.88x = 1,087,719,010.56
  5. Step 5: Solve for x
    x = 1,087,719,010.56/37,682.88
  6. Step 6: Final answer
    x = 28,865.07

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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.