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Finding the Fourth Proportional to 110,657.30, 165,964.35 and 36,785.30

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Solution

The fourth proportional to 110,657.30, 165,964.35 and 36,785.30 is: 55,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,657.30 : 165,964.35 = 36,785.30 : x
  2. Step 2: Convert to fraction form
    110,657.30/165,964.35 = 36,785.30/x
  3. Step 3: Cross multiply
    110,657.30x = 165,964.35 × 36,785.30
  4. Step 4: Simplify right side
    110,657.30x = 6,105,048,404.06
  5. Step 5: Solve for x
    x = 6,105,048,404.06/110,657.30
  6. Step 6: Final answer
    x = 55,170.77

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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.