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Finding the Fourth Proportional to 37,648.83, 51,957.01 and 22,538.56

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Solution

The fourth proportional to 37,648.83, 51,957.01 and 22,538.56 is: 31,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,648.83 : 51,957.01 = 22,538.56 : x
  2. Step 2: Convert to fraction form
    37,648.83/51,957.01 = 22,538.56/x
  3. Step 3: Cross multiply
    37,648.83x = 51,957.01 × 22,538.56
  4. Step 4: Simplify right side
    37,648.83x = 1,171,036,187.31
  5. Step 5: Solve for x
    x = 1,171,036,187.31/37,648.83
  6. Step 6: Final answer
    x = 31,104.19

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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.