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Finding the Fourth Proportional to 83,782.14, 125,762.74 and 33,894.85

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Solution

The fourth proportional to 83,782.14, 125,762.74 and 33,894.85 is: 50,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.14 : 125,762.74 = 33,894.85 : x
  2. Step 2: Convert to fraction form
    83,782.14/125,762.74 = 33,894.85/x
  3. Step 3: Cross multiply
    83,782.14x = 125,762.74 × 33,894.85
  4. Step 4: Simplify right side
    83,782.14x = 4,262,709,207.89
  5. Step 5: Solve for x
    x = 4,262,709,207.89/83,782.14
  6. Step 6: Final answer
    x = 50,878.50

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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.