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Finding the Fourth Proportional to 29,146.96, 43,709.34 and 10,423.54

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Solution

The fourth proportional to 29,146.96, 43,709.34 and 10,423.54 is: 15,631.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,146.96 : 43,709.34 = 10,423.54 : x
  2. Step 2: Convert to fraction form
    29,146.96/43,709.34 = 10,423.54/x
  3. Step 3: Cross multiply
    29,146.96x = 43,709.34 × 10,423.54
  4. Step 4: Simplify right side
    29,146.96x = 455,606,053.86
  5. Step 5: Solve for x
    x = 455,606,053.86/29,146.96
  6. Step 6: Final answer
    x = 15,631.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.