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Finding the Fourth Proportional to 101,451.66, 152,196.63 and 31,314.57

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Solution

The fourth proportional to 101,451.66, 152,196.63 and 31,314.57 is: 46,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451.66 : 152,196.63 = 31,314.57 : x
  2. Step 2: Convert to fraction form
    101,451.66/152,196.63 = 31,314.57/x
  3. Step 3: Cross multiply
    101,451.66x = 152,196.63 × 31,314.57
  4. Step 4: Simplify right side
    101,451.66x = 4,765,972,023.90
  5. Step 5: Solve for x
    x = 4,765,972,023.90/101,451.66
  6. Step 6: Final answer
    x = 46,977.76

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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.