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Finding the Fourth Proportional to 110,935, 166,402.50 and 37,063

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Solution

The fourth proportional to 110,935, 166,402.50 and 37,063 is: 55,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,935 : 166,402.50 = 37,063 : x
  2. Step 2: Convert to fraction form
    110,935/166,402.50 = 37,063/x
  3. Step 3: Cross multiply
    110,935x = 166,402.50 × 37,063
  4. Step 4: Simplify right side
    110,935x = 6,167,375,857.50
  5. Step 5: Solve for x
    x = 6,167,375,857.50/110,935
  6. Step 6: Final answer
    x = 55,594.50

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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.