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Finding the Fourth Proportional to 49,068.56, 67,712.28 and 27,844.94

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Solution

The fourth proportional to 49,068.56, 67,712.28 and 27,844.94 is: 38,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,068.56 : 67,712.28 = 27,844.94 : x
  2. Step 2: Convert to fraction form
    49,068.56/67,712.28 = 27,844.94/x
  3. Step 3: Cross multiply
    49,068.56x = 67,712.28 × 27,844.94
  4. Step 4: Simplify right side
    49,068.56x = 1,885,444,373.86
  5. Step 5: Solve for x
    x = 1,885,444,373.86/49,068.56
  6. Step 6: Final answer
    x = 38,424.69

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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.