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Finding the Fourth Proportional to 101,451.69, 152,202.58 and 31,331.00

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Solution

The fourth proportional to 101,451.69, 152,202.58 and 31,331.00 is: 47,004.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451.69 : 152,202.58 = 31,331.00 : x
  2. Step 2: Convert to fraction form
    101,451.69/152,202.58 = 31,331.00/x
  3. Step 3: Cross multiply
    101,451.69x = 152,202.58 × 31,331.00
  4. Step 4: Simplify right side
    101,451.69x = 4,768,659,336.16
  5. Step 5: Solve for x
    x = 4,768,659,336.16/101,451.69
  6. Step 6: Final answer
    x = 47,004.24

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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.