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Finding the Fourth Proportional to 29,686.10, 44,529.15 and 7,499.54

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Solution

The fourth proportional to 29,686.10, 44,529.15 and 7,499.54 is: 11,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,686.10 : 44,529.15 = 7,499.54 : x
  2. Step 2: Convert to fraction form
    29,686.10/44,529.15 = 7,499.54/x
  3. Step 3: Cross multiply
    29,686.10x = 44,529.15 × 7,499.54
  4. Step 4: Simplify right side
    29,686.10x = 333,948,141.59
  5. Step 5: Solve for x
    x = 333,948,141.59/29,686.10
  6. Step 6: Final answer
    x = 11,249.31

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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.