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Finding the Fourth Proportional to 101,488, 152,232.54 and 27,616

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Solution

The fourth proportional to 101,488, 152,232.54 and 27,616 is: 41,424.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,488 : 152,232.54 = 27,616 : x
  2. Step 2: Convert to fraction form
    101,488/152,232.54 = 27,616/x
  3. Step 3: Cross multiply
    101,488x = 152,232.54 × 27,616
  4. Step 4: Simplify right side
    101,488x = 4,204,053,824.64
  5. Step 5: Solve for x
    x = 4,204,053,824.64/101,488
  6. Step 6: Final answer
    x = 41,424.15

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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.