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Finding the Fourth Proportional to 66,825, 92,218.50 and 37,022.76

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Solution

The fourth proportional to 66,825, 92,218.50 and 37,022.76 is: 51,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 92,218.50 = 37,022.76 : x
  2. Step 2: Convert to fraction form
    66,825/92,218.50 = 37,022.76/x
  3. Step 3: Cross multiply
    66,825x = 92,218.50 × 37,022.76
  4. Step 4: Simplify right side
    66,825x = 3,414,183,393.06
  5. Step 5: Solve for x
    x = 3,414,183,393.06/66,825
  6. Step 6: Final answer
    x = 51,091.41

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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.