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Finding the Fourth Proportional to 73,194.32, 109,713.71 and 28,814.96

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Solution

The fourth proportional to 73,194.32, 109,713.71 and 28,814.96 is: 43,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,194.32 : 109,713.71 = 28,814.96 : x
  2. Step 2: Convert to fraction form
    73,194.32/109,713.71 = 28,814.96/x
  3. Step 3: Cross multiply
    73,194.32x = 109,713.71 × 28,814.96
  4. Step 4: Simplify right side
    73,194.32x = 3,161,395,472.46
  5. Step 5: Solve for x
    x = 3,161,395,472.46/73,194.32
  6. Step 6: Final answer
    x = 43,191.82

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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.