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Finding the Fourth Proportional to 49,064.76, 67,715.46 and 27,844.92

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Solution

The fourth proportional to 49,064.76, 67,715.46 and 27,844.92 is: 38,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,064.76 : 67,715.46 = 27,844.92 : x
  2. Step 2: Convert to fraction form
    49,064.76/67,715.46 = 27,844.92/x
  3. Step 3: Cross multiply
    49,064.76x = 67,715.46 × 27,844.92
  4. Step 4: Simplify right side
    49,064.76x = 1,885,531,566.46
  5. Step 5: Solve for x
    x = 1,885,531,566.46/49,064.76
  6. Step 6: Final answer
    x = 38,429.45

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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.