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Finding the Fourth Proportional to 78,155.35, 107,849.28 and 49,858

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Solution

The fourth proportional to 78,155.35, 107,849.28 and 49,858 is: 68,800.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.35 : 107,849.28 = 49,858 : x
  2. Step 2: Convert to fraction form
    78,155.35/107,849.28 = 49,858/x
  3. Step 3: Cross multiply
    78,155.35x = 107,849.28 × 49,858
  4. Step 4: Simplify right side
    78,155.35x = 5,377,149,402.24
  5. Step 5: Solve for x
    x = 5,377,149,402.24/78,155.35
  6. Step 6: Final answer
    x = 68,800.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.