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Finding the Fourth Proportional to 37,838.47, 52,215.87 and 22,524.96

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Solution

The fourth proportional to 37,838.47, 52,215.87 and 22,524.96 is: 31,083.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,838.47 : 52,215.87 = 22,524.96 : x
  2. Step 2: Convert to fraction form
    37,838.47/52,215.87 = 22,524.96/x
  3. Step 3: Cross multiply
    37,838.47x = 52,215.87 × 22,524.96
  4. Step 4: Simplify right side
    37,838.47x = 1,176,160,383.12
  5. Step 5: Solve for x
    x = 1,176,160,383.12/37,838.47
  6. Step 6: Final answer
    x = 31,083.72

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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.