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Finding the Fourth Proportional to 101,924.14, 152,871.36 and 27,048.82

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Solution

The fourth proportional to 101,924.14, 152,871.36 and 27,048.82 is: 40,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,924.14 : 152,871.36 = 27,048.82 : x
  2. Step 2: Convert to fraction form
    101,924.14/152,871.36 = 27,048.82/x
  3. Step 3: Cross multiply
    101,924.14x = 152,871.36 × 27,048.82
  4. Step 4: Simplify right side
    101,924.14x = 4,134,989,899.80
  5. Step 5: Solve for x
    x = 4,134,989,899.80/101,924.14
  6. Step 6: Final answer
    x = 40,569.29

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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.