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Finding the Fourth Proportional to 101,451.54, 152,196.43 and 31,314.45

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Solution

The fourth proportional to 101,451.54, 152,196.43 and 31,314.45 is: 46,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451.54 : 152,196.43 = 31,314.45 : x
  2. Step 2: Convert to fraction form
    101,451.54/152,196.43 = 31,314.45/x
  3. Step 3: Cross multiply
    101,451.54x = 152,196.43 × 31,314.45
  4. Step 4: Simplify right side
    101,451.54x = 4,765,947,497.41
  5. Step 5: Solve for x
    x = 4,765,947,497.41/101,451.54
  6. Step 6: Final answer
    x = 46,977.58

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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.