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Finding the Fourth Proportional to 49,188.16, 67,885.68 and 27,972.64

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Solution

The fourth proportional to 49,188.16, 67,885.68 and 27,972.64 is: 38,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,188.16 : 67,885.68 = 27,972.64 : x
  2. Step 2: Convert to fraction form
    49,188.16/67,885.68 = 27,972.64/x
  3. Step 3: Cross multiply
    49,188.16x = 67,885.68 × 27,972.64
  4. Step 4: Simplify right side
    49,188.16x = 1,898,941,687.80
  5. Step 5: Solve for x
    x = 1,898,941,687.80/49,188.16
  6. Step 6: Final answer
    x = 38,605.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.