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Finding the Fourth Proportional to 71,614.53, 107,361.65 and 31,627.06

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Solution

The fourth proportional to 71,614.53, 107,361.65 and 31,627.06 is: 47,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,614.53 : 107,361.65 = 31,627.06 : x
  2. Step 2: Convert to fraction form
    71,614.53/107,361.65 = 31,627.06/x
  3. Step 3: Cross multiply
    71,614.53x = 107,361.65 × 31,627.06
  4. Step 4: Simplify right side
    71,614.53x = 3,395,533,156.91
  5. Step 5: Solve for x
    x = 3,395,533,156.91/71,614.53
  6. Step 6: Final answer
    x = 47,414.03

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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.