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Finding the Fourth Proportional to 29,463.64, 44,195.46 and 17,143

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Solution

The fourth proportional to 29,463.64, 44,195.46 and 17,143 is: 25,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,463.64 : 44,195.46 = 17,143 : x
  2. Step 2: Convert to fraction form
    29,463.64/44,195.46 = 17,143/x
  3. Step 3: Cross multiply
    29,463.64x = 44,195.46 × 17,143
  4. Step 4: Simplify right side
    29,463.64x = 757,642,770.78
  5. Step 5: Solve for x
    x = 757,642,770.78/29,463.64
  6. Step 6: Final answer
    x = 25,714.50

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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.