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Finding the Fourth Proportional to 37,032.72, 51,129 and 33,046.98

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Solution

The fourth proportional to 37,032.72, 51,129 and 33,046.98 is: 45,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,032.72 : 51,129 = 33,046.98 : x
  2. Step 2: Convert to fraction form
    37,032.72/51,129 = 33,046.98/x
  3. Step 3: Cross multiply
    37,032.72x = 51,129 × 33,046.98
  4. Step 4: Simplify right side
    37,032.72x = 1,689,659,040.42
  5. Step 5: Solve for x
    x = 1,689,659,040.42/37,032.72
  6. Step 6: Final answer
    x = 45,626.11

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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.