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Finding the Fourth Proportional to 29,765.20, 44,648.06 and 7,578.58

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Solution

The fourth proportional to 29,765.20, 44,648.06 and 7,578.58 is: 11,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.20 : 44,648.06 = 7,578.58 : x
  2. Step 2: Convert to fraction form
    29,765.20/44,648.06 = 7,578.58/x
  3. Step 3: Cross multiply
    29,765.20x = 44,648.06 × 7,578.58
  4. Step 4: Simplify right side
    29,765.20x = 338,368,894.55
  5. Step 5: Solve for x
    x = 338,368,894.55/29,765.20
  6. Step 6: Final answer
    x = 11,367.94

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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.