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Finding the Fourth Proportional to 38,052.67, 57,077.67 and 9,972.51

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Solution

The fourth proportional to 38,052.67, 57,077.67 and 9,972.51 is: 14,958.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,052.67 : 57,077.67 = 9,972.51 : x
  2. Step 2: Convert to fraction form
    38,052.67/57,077.67 = 9,972.51/x
  3. Step 3: Cross multiply
    38,052.67x = 57,077.67 × 9,972.51
  4. Step 4: Simplify right side
    38,052.67x = 569,207,634.85
  5. Step 5: Solve for x
    x = 569,207,634.85/38,052.67
  6. Step 6: Final answer
    x = 14,958.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.