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Finding the Fourth Proportional to 110,730.30, 166,111.65 and 35,837.70

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Solution

The fourth proportional to 110,730.30, 166,111.65 and 35,837.70 is: 53,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730.30 : 166,111.65 = 35,837.70 : x
  2. Step 2: Convert to fraction form
    110,730.30/166,111.65 = 35,837.70/x
  3. Step 3: Cross multiply
    110,730.30x = 166,111.65 × 35,837.70
  4. Step 4: Simplify right side
    110,730.30x = 5,953,059,479.21
  5. Step 5: Solve for x
    x = 5,953,059,479.21/110,730.30
  6. Step 6: Final answer
    x = 53,761.79

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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.