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Finding the Fourth Proportional to 24,033.10, 36,053.10 and 7,394.53

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Solution

The fourth proportional to 24,033.10, 36,053.10 and 7,394.53 is: 11,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,033.10 : 36,053.10 = 7,394.53 : x
  2. Step 2: Convert to fraction form
    24,033.10/36,053.10 = 7,394.53/x
  3. Step 3: Cross multiply
    24,033.10x = 36,053.10 × 7,394.53
  4. Step 4: Simplify right side
    24,033.10x = 266,595,729.54
  5. Step 5: Solve for x
    x = 266,595,729.54/24,033.10
  6. Step 6: Final answer
    x = 11,092.86

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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.