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Finding the Fourth Proportional to 52,674.35, 78,974.57 and 19,390.10

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Solution

The fourth proportional to 52,674.35, 78,974.57 and 19,390.10 is: 29,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,674.35 : 78,974.57 = 19,390.10 : x
  2. Step 2: Convert to fraction form
    52,674.35/78,974.57 = 19,390.10/x
  3. Step 3: Cross multiply
    52,674.35x = 78,974.57 × 19,390.10
  4. Step 4: Simplify right side
    52,674.35x = 1,531,324,317.93
  5. Step 5: Solve for x
    x = 1,531,324,317.93/52,674.35
  6. Step 6: Final answer
    x = 29,071.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.