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Finding the Fourth Proportional to 29,222, 43,811.13 and 9,488.78

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Solution

The fourth proportional to 29,222, 43,811.13 and 9,488.78 is: 14,226.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,222 : 43,811.13 = 9,488.78 : x
  2. Step 2: Convert to fraction form
    29,222/43,811.13 = 9,488.78/x
  3. Step 3: Cross multiply
    29,222x = 43,811.13 × 9,488.78
  4. Step 4: Simplify right side
    29,222x = 415,714,174.12
  5. Step 5: Solve for x
    x = 415,714,174.12/29,222
  6. Step 6: Final answer
    x = 14,226.07

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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.