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Finding the Fourth Proportional to 37,648.35, 51,977.24 and 23,520.33

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Solution

The fourth proportional to 37,648.35, 51,977.24 and 23,520.33 is: 32,472.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.35 : 51,977.24 = 23,520.33 : x
  2. Step 2: Convert to fraction form
    37,648.35/51,977.24 = 23,520.33/x
  3. Step 3: Cross multiply
    37,648.35x = 51,977.24 × 23,520.33
  4. Step 4: Simplify right side
    37,648.35x = 1,222,521,719.69
  5. Step 5: Solve for x
    x = 1,222,521,719.69/37,648.35
  6. Step 6: Final answer
    x = 32,472.12

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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.