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Finding the Fourth Proportional to 109,744.92, 164,602.80 and 30,867.12

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Solution

The fourth proportional to 109,744.92, 164,602.80 and 30,867.12 is: 46,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,744.92 : 164,602.80 = 30,867.12 : x
  2. Step 2: Convert to fraction form
    109,744.92/164,602.80 = 30,867.12/x
  3. Step 3: Cross multiply
    109,744.92x = 164,602.80 × 30,867.12
  4. Step 4: Simplify right side
    109,744.92x = 5,080,814,379.94
  5. Step 5: Solve for x
    x = 5,080,814,379.94/109,744.92
  6. Step 6: Final answer
    x = 46,296.58

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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.