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Finding the Fourth Proportional to 73,589.60, 110,322.48 and 32,005.28

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Solution

The fourth proportional to 73,589.60, 110,322.48 and 32,005.28 is: 47,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,589.60 : 110,322.48 = 32,005.28 : x
  2. Step 2: Convert to fraction form
    73,589.60/110,322.48 = 32,005.28/x
  3. Step 3: Cross multiply
    73,589.60x = 110,322.48 × 32,005.28
  4. Step 4: Simplify right side
    73,589.60x = 3,530,901,862.69
  5. Step 5: Solve for x
    x = 3,530,901,862.69/73,589.60
  6. Step 6: Final answer
    x = 47,980.99

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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.