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Finding the Fourth Proportional to 55,967.40, 83,853.90 and 47,219.40

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Solution

The fourth proportional to 55,967.40, 83,853.90 and 47,219.40 is: 70,747.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,967.40 : 83,853.90 = 47,219.40 : x
  2. Step 2: Convert to fraction form
    55,967.40/83,853.90 = 47,219.40/x
  3. Step 3: Cross multiply
    55,967.40x = 83,853.90 × 47,219.40
  4. Step 4: Simplify right side
    55,967.40x = 3,959,530,845.66
  5. Step 5: Solve for x
    x = 3,959,530,845.66/55,967.40
  6. Step 6: Final answer
    x = 70,747.09

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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.