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Finding the Fourth Proportional to 101,361.76, 152,042.64 and 31,241.12

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Solution

The fourth proportional to 101,361.76, 152,042.64 and 31,241.12 is: 46,861.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,361.76 : 152,042.64 = 31,241.12 : x
  2. Step 2: Convert to fraction form
    101,361.76/152,042.64 = 31,241.12/x
  3. Step 3: Cross multiply
    101,361.76x = 152,042.64 × 31,241.12
  4. Step 4: Simplify right side
    101,361.76x = 4,749,982,361.36
  5. Step 5: Solve for x
    x = 4,749,982,361.36/101,361.76
  6. Step 6: Final answer
    x = 46,861.68

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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.