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Finding the Fourth Proportional to 55,461.20, 83,202.60 and 16,019.60

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Solution

The fourth proportional to 55,461.20, 83,202.60 and 16,019.60 is: 24,032.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,461.20 : 83,202.60 = 16,019.60 : x
  2. Step 2: Convert to fraction form
    55,461.20/83,202.60 = 16,019.60/x
  3. Step 3: Cross multiply
    55,461.20x = 83,202.60 × 16,019.60
  4. Step 4: Simplify right side
    55,461.20x = 1,332,872,370.96
  5. Step 5: Solve for x
    x = 1,332,872,370.96/55,461.20
  6. Step 6: Final answer
    x = 24,032.52

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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.