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Finding the Fourth Proportional to 73,194, 109,806.48 and 28,216.52

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Solution

The fourth proportional to 73,194, 109,806.48 and 28,216.52 is: 42,330.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,194 : 109,806.48 = 28,216.52 : x
  2. Step 2: Convert to fraction form
    73,194/109,806.48 = 28,216.52/x
  3. Step 3: Cross multiply
    73,194x = 109,806.48 × 28,216.52
  4. Step 4: Simplify right side
    73,194x = 3,098,356,190.02
  5. Step 5: Solve for x
    x = 3,098,356,190.02/73,194
  6. Step 6: Final answer
    x = 42,330.74

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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.