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Finding the Fourth Proportional to 37,836.50, 52,189.35 and 23,664.74

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Solution

The fourth proportional to 37,836.50, 52,189.35 and 23,664.74 is: 32,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,836.50 : 52,189.35 = 23,664.74 : x
  2. Step 2: Convert to fraction form
    37,836.50/52,189.35 = 23,664.74/x
  3. Step 3: Cross multiply
    37,836.50x = 52,189.35 × 23,664.74
  4. Step 4: Simplify right side
    37,836.50x = 1,235,047,398.52
  5. Step 5: Solve for x
    x = 1,235,047,398.52/37,836.50
  6. Step 6: Final answer
    x = 32,641.69

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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.