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Finding the Fourth Proportional to 49,537.84, 74,306.50 and 12,098.12

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Solution

The fourth proportional to 49,537.84, 74,306.50 and 12,098.12 is: 18,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,537.84 : 74,306.50 = 12,098.12 : x
  2. Step 2: Convert to fraction form
    49,537.84/74,306.50 = 12,098.12/x
  3. Step 3: Cross multiply
    49,537.84x = 74,306.50 × 12,098.12
  4. Step 4: Simplify right side
    49,537.84x = 898,968,953.78
  5. Step 5: Solve for x
    x = 898,968,953.78/49,537.84
  6. Step 6: Final answer
    x = 18,147.12

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