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Finding the Fourth Proportional to 55,849.80, 83,774.70 and 22,558.80

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Solution

The fourth proportional to 55,849.80, 83,774.70 and 22,558.80 is: 33,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,849.80 : 83,774.70 = 22,558.80 : x
  2. Step 2: Convert to fraction form
    55,849.80/83,774.70 = 22,558.80/x
  3. Step 3: Cross multiply
    55,849.80x = 83,774.70 × 22,558.80
  4. Step 4: Simplify right side
    55,849.80x = 1,889,856,702.36
  5. Step 5: Solve for x
    x = 1,889,856,702.36/55,849.80
  6. Step 6: Final answer
    x = 33,838.20

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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.