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Finding the Fourth Proportional to 29,465.82, 44,206.04 and 9,744.56

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Solution

The fourth proportional to 29,465.82, 44,206.04 and 9,744.56 is: 14,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,465.82 : 44,206.04 = 9,744.56 : x
  2. Step 2: Convert to fraction form
    29,465.82/44,206.04 = 9,744.56/x
  3. Step 3: Cross multiply
    29,465.82x = 44,206.04 × 9,744.56
  4. Step 4: Simplify right side
    29,465.82x = 430,768,409.14
  5. Step 5: Solve for x
    x = 430,768,409.14/29,465.82
  6. Step 6: Final answer
    x = 14,619.26

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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.