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Finding the Fourth Proportional to 37,527, 51,766.79 and 24,100.31

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Solution

The fourth proportional to 37,527, 51,766.79 and 24,100.31 is: 33,245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,527 : 51,766.79 = 24,100.31 : x
  2. Step 2: Convert to fraction form
    37,527/51,766.79 = 24,100.31/x
  3. Step 3: Cross multiply
    37,527x = 51,766.79 × 24,100.31
  4. Step 4: Simplify right side
    37,527x = 1,247,595,307.37
  5. Step 5: Solve for x
    x = 1,247,595,307.37/37,527
  6. Step 6: Final answer
    x = 33,245.27

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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.