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Finding the Fourth Proportional to 101,393.40, 152,039.34 and 31,263.60

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Solution

The fourth proportional to 101,393.40, 152,039.34 and 31,263.60 is: 46,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393.40 : 152,039.34 = 31,263.60 : x
  2. Step 2: Convert to fraction form
    101,393.40/152,039.34 = 31,263.60/x
  3. Step 3: Cross multiply
    101,393.40x = 152,039.34 × 31,263.60
  4. Step 4: Simplify right side
    101,393.40x = 4,753,297,110.02
  5. Step 5: Solve for x
    x = 4,753,297,110.02/101,393.40
  6. Step 6: Final answer
    x = 46,879.75

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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.