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Finding the Fourth Proportional to 101,448.65, 152,192.12 and 31,311.56

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Solution

The fourth proportional to 101,448.65, 152,192.12 and 31,311.56 is: 46,973.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,448.65 : 152,192.12 = 31,311.56 : x
  2. Step 2: Convert to fraction form
    101,448.65/152,192.12 = 31,311.56/x
  3. Step 3: Cross multiply
    101,448.65x = 152,192.12 × 31,311.56
  4. Step 4: Simplify right side
    101,448.65x = 4,765,372,920.83
  5. Step 5: Solve for x
    x = 4,765,372,920.83/101,448.65
  6. Step 6: Final answer
    x = 46,973.25

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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.