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Finding the Fourth Proportional to 37,427.39, 51,648.50 and 22,312.25

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Solution

The fourth proportional to 37,427.39, 51,648.50 and 22,312.25 is: 30,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,427.39 : 51,648.50 = 22,312.25 : x
  2. Step 2: Convert to fraction form
    37,427.39/51,648.50 = 22,312.25/x
  3. Step 3: Cross multiply
    37,427.39x = 51,648.50 × 22,312.25
  4. Step 4: Simplify right side
    37,427.39x = 1,152,394,132.56
  5. Step 5: Solve for x
    x = 1,152,394,132.56/37,427.39
  6. Step 6: Final answer
    x = 30,790.13

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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.