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Finding the Fourth Proportional to 109,717.20, 164,575.80 and 30,844.80

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Solution

The fourth proportional to 109,717.20, 164,575.80 and 30,844.80 is: 46,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,717.20 : 164,575.80 = 30,844.80 : x
  2. Step 2: Convert to fraction form
    109,717.20/164,575.80 = 30,844.80/x
  3. Step 3: Cross multiply
    109,717.20x = 164,575.80 × 30,844.80
  4. Step 4: Simplify right side
    109,717.20x = 5,076,307,635.84
  5. Step 5: Solve for x
    x = 5,076,307,635.84/109,717.20
  6. Step 6: Final answer
    x = 46,267.20

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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.