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Finding the Fourth Proportional to 55,706.46, 83,571.84 and 22,427.64

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Solution

The fourth proportional to 55,706.46, 83,571.84 and 22,427.64 is: 33,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706.46 : 83,571.84 = 22,427.64 : x
  2. Step 2: Convert to fraction form
    55,706.46/83,571.84 = 22,427.64/x
  3. Step 3: Cross multiply
    55,706.46x = 83,571.84 × 22,427.64
  4. Step 4: Simplify right side
    55,706.46x = 1,874,319,141.66
  5. Step 5: Solve for x
    x = 1,874,319,141.66/55,706.46
  6. Step 6: Final answer
    x = 33,646.35

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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.