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Finding the Fourth Proportional to 29,716.10, 44,574.09 and 7,529.42

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Solution

The fourth proportional to 29,716.10, 44,574.09 and 7,529.42 is: 11,294.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,716.10 : 44,574.09 = 7,529.42 : x
  2. Step 2: Convert to fraction form
    29,716.10/44,574.09 = 7,529.42/x
  3. Step 3: Cross multiply
    29,716.10x = 44,574.09 × 7,529.42
  4. Step 4: Simplify right side
    29,716.10x = 335,616,877.20
  5. Step 5: Solve for x
    x = 335,616,877.20/29,716.10
  6. Step 6: Final answer
    x = 11,294.11

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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.