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Finding the Fourth Proportional to 29,146.44, 43,719.54 and 9,424.98

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Solution

The fourth proportional to 29,146.44, 43,719.54 and 9,424.98 is: 14,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146.44 : 43,719.54 = 9,424.98 : x
  2. Step 2: Convert to fraction form
    29,146.44/43,719.54 = 9,424.98/x
  3. Step 3: Cross multiply
    29,146.44x = 43,719.54 × 9,424.98
  4. Step 4: Simplify right side
    29,146.44x = 412,055,790.11
  5. Step 5: Solve for x
    x = 412,055,790.11/29,146.44
  6. Step 6: Final answer
    x = 14,137.43

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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.