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Finding the Fourth Proportional to 29,145.84, 43,714.10 and 10,422.38

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Solution

The fourth proportional to 29,145.84, 43,714.10 and 10,422.38 is: 15,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.84 : 43,714.10 = 10,422.38 : x
  2. Step 2: Convert to fraction form
    29,145.84/43,714.10 = 10,422.38/x
  3. Step 3: Cross multiply
    29,145.84x = 43,714.10 × 10,422.38
  4. Step 4: Simplify right side
    29,145.84x = 455,604,961.56
  5. Step 5: Solve for x
    x = 455,604,961.56/29,145.84
  6. Step 6: Final answer
    x = 15,631.90

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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.