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Finding the Fourth Proportional to 29,765.52, 44,648.52 and 7,578.90

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Solution

The fourth proportional to 29,765.52, 44,648.52 and 7,578.90 is: 11,368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,765.52 : 44,648.52 = 7,578.90 : x
  2. Step 2: Convert to fraction form
    29,765.52/44,648.52 = 7,578.90/x
  3. Step 3: Cross multiply
    29,765.52x = 44,648.52 × 7,578.90
  4. Step 4: Simplify right side
    29,765.52x = 338,386,668.23
  5. Step 5: Solve for x
    x = 338,386,668.23/29,765.52
  6. Step 6: Final answer
    x = 11,368.41

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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.