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Finding the Fourth Proportional to 109,625.69, 164,463.44 and 34,750.50

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Solution

The fourth proportional to 109,625.69, 164,463.44 and 34,750.50 is: 52,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,625.69 : 164,463.44 = 34,750.50 : x
  2. Step 2: Convert to fraction form
    109,625.69/164,463.44 = 34,750.50/x
  3. Step 3: Cross multiply
    109,625.69x = 164,463.44 × 34,750.50
  4. Step 4: Simplify right side
    109,625.69x = 5,715,186,597.97
  5. Step 5: Solve for x
    x = 5,715,186,597.97/109,625.69
  6. Step 6: Final answer
    x = 52,133.65

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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.