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Finding the Fourth Proportional to 37,832.70, 52,153.11 and 24,218.75

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Solution

The fourth proportional to 37,832.70, 52,153.11 and 24,218.75 is: 33,386.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,832.70 : 52,153.11 = 24,218.75 : x
  2. Step 2: Convert to fraction form
    37,832.70/52,153.11 = 24,218.75/x
  3. Step 3: Cross multiply
    37,832.70x = 52,153.11 × 24,218.75
  4. Step 4: Simplify right side
    37,832.70x = 1,263,083,132.81
  5. Step 5: Solve for x
    x = 1,263,083,132.81/37,832.70
  6. Step 6: Final answer
    x = 33,386.02

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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.