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Finding the Fourth Proportional to 110,270, 165,383.04 and 31,384.88

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Solution

The fourth proportional to 110,270, 165,383.04 and 31,384.88 is: 47,071.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,270 : 165,383.04 = 31,384.88 : x
  2. Step 2: Convert to fraction form
    110,270/165,383.04 = 31,384.88/x
  3. Step 3: Cross multiply
    110,270x = 165,383.04 × 31,384.88
  4. Step 4: Simplify right side
    110,270x = 5,190,526,864.44
  5. Step 5: Solve for x
    x = 5,190,526,864.44/110,270
  6. Step 6: Final answer
    x = 47,071.07

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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.