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Finding the Fourth Proportional to 29,513.50, 44,269.02 and 7,326.40

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Solution

The fourth proportional to 29,513.50, 44,269.02 and 7,326.40 is: 10,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,513.50 : 44,269.02 = 7,326.40 : x
  2. Step 2: Convert to fraction form
    29,513.50/44,269.02 = 7,326.40/x
  3. Step 3: Cross multiply
    29,513.50x = 44,269.02 × 7,326.40
  4. Step 4: Simplify right side
    29,513.50x = 324,332,548.13
  5. Step 5: Solve for x
    x = 324,332,548.13/29,513.50
  6. Step 6: Final answer
    x = 10,989.29

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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.