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Finding the Fourth Proportional to 83,753.64, 125,581.26 and 33,835.32

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Solution

The fourth proportional to 83,753.64, 125,581.26 and 33,835.32 is: 50,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,753.64 : 125,581.26 = 33,835.32 : x
  2. Step 2: Convert to fraction form
    83,753.64/125,581.26 = 33,835.32/x
  3. Step 3: Cross multiply
    83,753.64x = 125,581.26 × 33,835.32
  4. Step 4: Simplify right side
    83,753.64x = 4,249,082,118.10
  5. Step 5: Solve for x
    x = 4,249,082,118.10/83,753.64
  6. Step 6: Final answer
    x = 50,733.10

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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.