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Finding the Fourth Proportional to 37,683, 51,993.84 and 22,572.84

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Solution

The fourth proportional to 37,683, 51,993.84 and 22,572.84 is: 31,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,683 : 51,993.84 = 22,572.84 : x
  2. Step 2: Convert to fraction form
    37,683/51,993.84 = 22,572.84/x
  3. Step 3: Cross multiply
    37,683x = 51,993.84 × 22,572.84
  4. Step 4: Simplify right side
    37,683x = 1,173,648,631.31
  5. Step 5: Solve for x
    x = 1,173,648,631.31/37,683
  6. Step 6: Final answer
    x = 31,145.31

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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.