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Finding the Fourth Proportional to 101,525.84, 152,296.44 and 31,412.24

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Solution

The fourth proportional to 101,525.84, 152,296.44 and 31,412.24 is: 47,120.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,525.84 : 152,296.44 = 31,412.24 : x
  2. Step 2: Convert to fraction form
    101,525.84/152,296.44 = 31,412.24/x
  3. Step 3: Cross multiply
    101,525.84x = 152,296.44 × 31,412.24
  4. Step 4: Simplify right side
    101,525.84x = 4,783,972,324.43
  5. Step 5: Solve for x
    x = 4,783,972,324.43/101,525.84
  6. Step 6: Final answer
    x = 47,120.74

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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.