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Finding the Fourth Proportional to 59,586.88, 89,391.84 and 22,648

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Solution

The fourth proportional to 59,586.88, 89,391.84 and 22,648 is: 33,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,586.88 : 89,391.84 = 22,648 : x
  2. Step 2: Convert to fraction form
    59,586.88/89,391.84 = 22,648/x
  3. Step 3: Cross multiply
    59,586.88x = 89,391.84 × 22,648
  4. Step 4: Simplify right side
    59,586.88x = 2,024,546,392.32
  5. Step 5: Solve for x
    x = 2,024,546,392.32/59,586.88
  6. Step 6: Final answer
    x = 33,976.38

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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.