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Finding the Fourth Proportional to 51,714.64, 71,361.17 and 29,048.50

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Solution

The fourth proportional to 51,714.64, 71,361.17 and 29,048.50 is: 40,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,714.64 : 71,361.17 = 29,048.50 : x
  2. Step 2: Convert to fraction form
    51,714.64/71,361.17 = 29,048.50/x
  3. Step 3: Cross multiply
    51,714.64x = 71,361.17 × 29,048.50
  4. Step 4: Simplify right side
    51,714.64x = 2,072,934,801.50
  5. Step 5: Solve for x
    x = 2,072,934,801.50/51,714.64
  6. Step 6: Final answer
    x = 40,084.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.