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Finding the Fourth Proportional to 49,402.96, 68,180.64 and 27,603.13

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Solution

The fourth proportional to 49,402.96, 68,180.64 and 27,603.13 is: 38,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,402.96 : 68,180.64 = 27,603.13 : x
  2. Step 2: Convert to fraction form
    49,402.96/68,180.64 = 27,603.13/x
  3. Step 3: Cross multiply
    49,402.96x = 68,180.64 × 27,603.13
  4. Step 4: Simplify right side
    49,402.96x = 1,881,998,923.28
  5. Step 5: Solve for x
    x = 1,881,998,923.28/49,402.96
  6. Step 6: Final answer
    x = 38,094.86

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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.