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Finding the Fourth Proportional to 109,342.40, 164,004 and 30,451.52

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Solution

The fourth proportional to 109,342.40, 164,004 and 30,451.52 is: 45,674.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,342.40 : 164,004 = 30,451.52 : x
  2. Step 2: Convert to fraction form
    109,342.40/164,004 = 30,451.52/x
  3. Step 3: Cross multiply
    109,342.40x = 164,004 × 30,451.52
  4. Step 4: Simplify right side
    109,342.40x = 4,994,171,086.08
  5. Step 5: Solve for x
    x = 4,994,171,086.08/109,342.40
  6. Step 6: Final answer
    x = 45,674.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.