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Finding the Fourth Proportional to 101,941.32, 152,906.58 and 31,812.60

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Solution

The fourth proportional to 101,941.32, 152,906.58 and 31,812.60 is: 47,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,941.32 : 152,906.58 = 31,812.60 : x
  2. Step 2: Convert to fraction form
    101,941.32/152,906.58 = 31,812.60/x
  3. Step 3: Cross multiply
    101,941.32x = 152,906.58 × 31,812.60
  4. Step 4: Simplify right side
    101,941.32x = 4,864,355,866.91
  5. Step 5: Solve for x
    x = 4,864,355,866.91/101,941.32
  6. Step 6: Final answer
    x = 47,717.21

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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.