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Finding the Fourth Proportional to 52,377.84, 78,537.11 and 47,914.54

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Solution

The fourth proportional to 52,377.84, 78,537.11 and 47,914.54 is: 71,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,377.84 : 78,537.11 = 47,914.54 : x
  2. Step 2: Convert to fraction form
    52,377.84/78,537.11 = 47,914.54/x
  3. Step 3: Cross multiply
    52,377.84x = 78,537.11 × 47,914.54
  4. Step 4: Simplify right side
    52,377.84x = 3,763,069,498.58
  5. Step 5: Solve for x
    x = 3,763,069,498.58/52,377.84
  6. Step 6: Final answer
    x = 71,844.69

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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.