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Finding the Fourth Proportional to 83,178.64, 124,772.44 and 33,266.32

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Solution

The fourth proportional to 83,178.64, 124,772.44 and 33,266.32 is: 49,901.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178.64 : 124,772.44 = 33,266.32 : x
  2. Step 2: Convert to fraction form
    83,178.64/124,772.44 = 33,266.32/x
  3. Step 3: Cross multiply
    83,178.64x = 124,772.44 × 33,266.32
  4. Step 4: Simplify right side
    83,178.64x = 4,150,719,916.22
  5. Step 5: Solve for x
    x = 4,150,719,916.22/83,178.64
  6. Step 6: Final answer
    x = 49,901.27

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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.