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Finding the Fourth Proportional to 101,333.56, 152,029.64 and 31,223.20

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Solution

The fourth proportional to 101,333.56, 152,029.64 and 31,223.20 is: 46,843.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,333.56 : 152,029.64 = 31,223.20 : x
  2. Step 2: Convert to fraction form
    101,333.56/152,029.64 = 31,223.20/x
  3. Step 3: Cross multiply
    101,333.56x = 152,029.64 × 31,223.20
  4. Step 4: Simplify right side
    101,333.56x = 4,746,851,855.65
  5. Step 5: Solve for x
    x = 4,746,851,855.65/101,333.56
  6. Step 6: Final answer
    x = 46,843.83

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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.