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Finding the Fourth Proportional to 82,196.76, 113,431.52 and 44,471

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Solution

The fourth proportional to 82,196.76, 113,431.52 and 44,471 is: 61,369.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196.76 : 113,431.52 = 44,471 : x
  2. Step 2: Convert to fraction form
    82,196.76/113,431.52 = 44,471/x
  3. Step 3: Cross multiply
    82,196.76x = 113,431.52 × 44,471
  4. Step 4: Simplify right side
    82,196.76x = 5,044,413,125.92
  5. Step 5: Solve for x
    x = 5,044,413,125.92/82,196.76
  6. Step 6: Final answer
    x = 61,369.98

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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.