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Finding the Fourth Proportional to 37,201.86, 51,339 and 20,434.86

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Solution

The fourth proportional to 37,201.86, 51,339 and 20,434.86 is: 28,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.86 : 51,339 = 20,434.86 : x
  2. Step 2: Convert to fraction form
    37,201.86/51,339 = 20,434.86/x
  3. Step 3: Cross multiply
    37,201.86x = 51,339 × 20,434.86
  4. Step 4: Simplify right side
    37,201.86x = 1,049,105,277.54
  5. Step 5: Solve for x
    x = 1,049,105,277.54/37,201.86
  6. Step 6: Final answer
    x = 28,200.34

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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.