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Finding the Fourth Proportional to 52,872.89, 72,966.02 and 30,215.57

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Solution

The fourth proportional to 52,872.89, 72,966.02 and 30,215.57 is: 41,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,872.89 : 72,966.02 = 30,215.57 : x
  2. Step 2: Convert to fraction form
    52,872.89/72,966.02 = 30,215.57/x
  3. Step 3: Cross multiply
    52,872.89x = 72,966.02 × 30,215.57
  4. Step 4: Simplify right side
    52,872.89x = 2,204,709,369.02
  5. Step 5: Solve for x
    x = 2,204,709,369.02/52,872.89
  6. Step 6: Final answer
    x = 41,698.30

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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.