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Finding the Fourth Proportional to 49,065.23, 67,706.16 and 27,844.49

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Solution

The fourth proportional to 49,065.23, 67,706.16 and 27,844.49 is: 38,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,065.23 : 67,706.16 = 27,844.49 : x
  2. Step 2: Convert to fraction form
    49,065.23/67,706.16 = 27,844.49/x
  3. Step 3: Cross multiply
    49,065.23x = 67,706.16 × 27,844.49
  4. Step 4: Simplify right side
    49,065.23x = 1,885,243,156.53
  5. Step 5: Solve for x
    x = 1,885,243,156.53/49,065.23
  6. Step 6: Final answer
    x = 38,423.20

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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.