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Finding the Fourth Proportional to 51,906.77, 77,575.71 and 37,896.30

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Solution

The fourth proportional to 51,906.77, 77,575.71 and 37,896.30 is: 56,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.77 : 77,575.71 = 37,896.30 : x
  2. Step 2: Convert to fraction form
    51,906.77/77,575.71 = 37,896.30/x
  3. Step 3: Cross multiply
    51,906.77x = 77,575.71 × 37,896.30
  4. Step 4: Simplify right side
    51,906.77x = 2,939,832,189.39
  5. Step 5: Solve for x
    x = 2,939,832,189.39/51,906.77
  6. Step 6: Final answer
    x = 56,636.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.