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Finding the Fourth Proportional to 101,943.90, 152,855.42 and 30,844.98

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Solution

The fourth proportional to 101,943.90, 152,855.42 and 30,844.98 is: 46,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,943.90 : 152,855.42 = 30,844.98 : x
  2. Step 2: Convert to fraction form
    101,943.90/152,855.42 = 30,844.98/x
  3. Step 3: Cross multiply
    101,943.90x = 152,855.42 × 30,844.98
  4. Step 4: Simplify right side
    101,943.90x = 4,714,822,218.57
  5. Step 5: Solve for x
    x = 4,714,822,218.57/101,943.90
  6. Step 6: Final answer
    x = 46,249.18

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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.