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Finding the Fourth Proportional to 55,684.46, 83,505.90 and 22,393.28

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Solution

The fourth proportional to 55,684.46, 83,505.90 and 22,393.28 is: 33,581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,684.46 : 83,505.90 = 22,393.28 : x
  2. Step 2: Convert to fraction form
    55,684.46/83,505.90 = 22,393.28/x
  3. Step 3: Cross multiply
    55,684.46x = 83,505.90 × 22,393.28
  4. Step 4: Simplify right side
    55,684.46x = 1,869,971,000.35
  5. Step 5: Solve for x
    x = 1,869,971,000.35/55,684.46
  6. Step 6: Final answer
    x = 33,581.56

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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.