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Finding the Fourth Proportional to 52,971.68, 73,104.84 and 32,832.52

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Solution

The fourth proportional to 52,971.68, 73,104.84 and 32,832.52 is: 45,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.68 : 73,104.84 = 32,832.52 : x
  2. Step 2: Convert to fraction form
    52,971.68/73,104.84 = 32,832.52/x
  3. Step 3: Cross multiply
    52,971.68x = 73,104.84 × 32,832.52
  4. Step 4: Simplify right side
    52,971.68x = 2,400,216,121.40
  5. Step 5: Solve for x
    x = 2,400,216,121.40/52,971.68
  6. Step 6: Final answer
    x = 45,311.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.