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Finding the Fourth Proportional to 101,356.84, 152,052.54 and 31,234.60

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Solution

The fourth proportional to 101,356.84, 152,052.54 and 31,234.60 is: 46,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,356.84 : 152,052.54 = 31,234.60 : x
  2. Step 2: Convert to fraction form
    101,356.84/152,052.54 = 31,234.60/x
  3. Step 3: Cross multiply
    101,356.84x = 152,052.54 × 31,234.60
  4. Step 4: Simplify right side
    101,356.84x = 4,749,300,265.88
  5. Step 5: Solve for x
    x = 4,749,300,265.88/101,356.84
  6. Step 6: Final answer
    x = 46,857.23

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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.