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Finding the Fourth Proportional to 49,082.76, 73,624.14 and 12,146.76

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Solution

The fourth proportional to 49,082.76, 73,624.14 and 12,146.76 is: 18,220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,082.76 : 73,624.14 = 12,146.76 : x
  2. Step 2: Convert to fraction form
    49,082.76/73,624.14 = 12,146.76/x
  3. Step 3: Cross multiply
    49,082.76x = 73,624.14 × 12,146.76
  4. Step 4: Simplify right side
    49,082.76x = 894,294,758.79
  5. Step 5: Solve for x
    x = 894,294,758.79/49,082.76
  6. Step 6: Final answer
    x = 18,220.14

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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.