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Finding the Fourth Proportional to 29,814.54, 44,728.29 and 9,037.50

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Solution

The fourth proportional to 29,814.54, 44,728.29 and 9,037.50 is: 13,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,814.54 : 44,728.29 = 9,037.50 : x
  2. Step 2: Convert to fraction form
    29,814.54/44,728.29 = 9,037.50/x
  3. Step 3: Cross multiply
    29,814.54x = 44,728.29 × 9,037.50
  4. Step 4: Simplify right side
    29,814.54x = 404,231,920.88
  5. Step 5: Solve for x
    x = 404,231,920.88/29,814.54
  6. Step 6: Final answer
    x = 13,558.21

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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.