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Finding the Fourth Proportional to 52,242.84, 78,749.82 and 49,194.54

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Solution

The fourth proportional to 52,242.84, 78,749.82 and 49,194.54 is: 74,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,242.84 : 78,749.82 = 49,194.54 : x
  2. Step 2: Convert to fraction form
    52,242.84/78,749.82 = 49,194.54/x
  3. Step 3: Cross multiply
    52,242.84x = 78,749.82 × 49,194.54
  4. Step 4: Simplify right side
    52,242.84x = 3,874,061,169.98
  5. Step 5: Solve for x
    x = 3,874,061,169.98/52,242.84
  6. Step 6: Final answer
    x = 74,154.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.