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Finding the Fourth Proportional to 37,502.57, 51,754.86 and 22,406.80

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Solution

The fourth proportional to 37,502.57, 51,754.86 and 22,406.80 is: 30,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,502.57 : 51,754.86 = 22,406.80 : x
  2. Step 2: Convert to fraction form
    37,502.57/51,754.86 = 22,406.80/x
  3. Step 3: Cross multiply
    37,502.57x = 51,754.86 × 22,406.80
  4. Step 4: Simplify right side
    37,502.57x = 1,159,660,667.66
  5. Step 5: Solve for x
    x = 1,159,660,667.66/37,502.57
  6. Step 6: Final answer
    x = 30,922.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.