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Finding the Fourth Proportional to 52,058.87, 78,119.39 and 47,823.90

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Solution

The fourth proportional to 52,058.87, 78,119.39 and 47,823.90 is: 71,764.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.87 : 78,119.39 = 47,823.90 : x
  2. Step 2: Convert to fraction form
    52,058.87/78,119.39 = 47,823.90/x
  3. Step 3: Cross multiply
    52,058.87x = 78,119.39 × 47,823.90
  4. Step 4: Simplify right side
    52,058.87x = 3,735,973,656.30
  5. Step 5: Solve for x
    x = 3,735,973,656.30/52,058.87
  6. Step 6: Final answer
    x = 71,764.41

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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.