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Finding the Fourth Proportional to 35,306.74, 48,718.02 and 20,197

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Solution

The fourth proportional to 35,306.74, 48,718.02 and 20,197 is: 27,868.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,306.74 : 48,718.02 = 20,197 : x
  2. Step 2: Convert to fraction form
    35,306.74/48,718.02 = 20,197/x
  3. Step 3: Cross multiply
    35,306.74x = 48,718.02 × 20,197
  4. Step 4: Simplify right side
    35,306.74x = 983,957,849.94
  5. Step 5: Solve for x
    x = 983,957,849.94/35,306.74
  6. Step 6: Final answer
    x = 27,868.84

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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.