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Finding the Fourth Proportional to 37,684.71, 51,990.10 and 22,578.01

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Solution

The fourth proportional to 37,684.71, 51,990.10 and 22,578.01 is: 31,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,684.71 : 51,990.10 = 22,578.01 : x
  2. Step 2: Convert to fraction form
    37,684.71/51,990.10 = 22,578.01/x
  3. Step 3: Cross multiply
    37,684.71x = 51,990.10 × 22,578.01
  4. Step 4: Simplify right side
    37,684.71x = 1,173,832,624.86
  5. Step 5: Solve for x
    x = 1,173,832,624.86/37,684.71
  6. Step 6: Final answer
    x = 31,148.78

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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.