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Finding the Fourth Proportional to 37,238.70, 51,380.82 and 23,084.76

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Solution

The fourth proportional to 37,238.70, 51,380.82 and 23,084.76 is: 31,851.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,238.70 : 51,380.82 = 23,084.76 : x
  2. Step 2: Convert to fraction form
    37,238.70/51,380.82 = 23,084.76/x
  3. Step 3: Cross multiply
    37,238.70x = 51,380.82 × 23,084.76
  4. Step 4: Simplify right side
    37,238.70x = 1,186,113,898.30
  5. Step 5: Solve for x
    x = 1,186,113,898.30/37,238.70
  6. Step 6: Final answer
    x = 31,851.65

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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.