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Finding the Fourth Proportional to 110,274, 165,389.04 and 31,388.88

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Solution

The fourth proportional to 110,274, 165,389.04 and 31,388.88 is: 47,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,274 : 165,389.04 = 31,388.88 : x
  2. Step 2: Convert to fraction form
    110,274/165,389.04 = 31,388.88/x
  3. Step 3: Cross multiply
    110,274x = 165,389.04 × 31,388.88
  4. Step 4: Simplify right side
    110,274x = 5,191,376,729.88
  5. Step 5: Solve for x
    x = 5,191,376,729.88/110,274
  6. Step 6: Final answer
    x = 47,077.07

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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.