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Finding the Fourth Proportional to 109,882.64, 164,712.80 and 43,296.88

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Solution

The fourth proportional to 109,882.64, 164,712.80 and 43,296.88 is: 64,901.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.64 : 164,712.80 = 43,296.88 : x
  2. Step 2: Convert to fraction form
    109,882.64/164,712.80 = 43,296.88/x
  3. Step 3: Cross multiply
    109,882.64x = 164,712.80 × 43,296.88
  4. Step 4: Simplify right side
    109,882.64x = 7,131,550,336.06
  5. Step 5: Solve for x
    x = 7,131,550,336.06/109,882.64
  6. Step 6: Final answer
    x = 64,901.52

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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.