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Finding the Fourth Proportional to 49,897.51, 68,856.84 and 29,744

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Solution

The fourth proportional to 49,897.51, 68,856.84 and 29,744 is: 41,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,897.51 : 68,856.84 = 29,744 : x
  2. Step 2: Convert to fraction form
    49,897.51/68,856.84 = 29,744/x
  3. Step 3: Cross multiply
    49,897.51x = 68,856.84 × 29,744
  4. Step 4: Simplify right side
    49,897.51x = 2,048,077,848.96
  5. Step 5: Solve for x
    x = 2,048,077,848.96/49,897.51
  6. Step 6: Final answer
    x = 41,045.69

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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.