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Finding the Fourth Proportional to 110,441, 165,663.12 and 27,335

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Solution

The fourth proportional to 110,441, 165,663.12 and 27,335 is: 41,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,441 : 165,663.12 = 27,335 : x
  2. Step 2: Convert to fraction form
    110,441/165,663.12 = 27,335/x
  3. Step 3: Cross multiply
    110,441x = 165,663.12 × 27,335
  4. Step 4: Simplify right side
    110,441x = 4,528,401,385.20
  5. Step 5: Solve for x
    x = 4,528,401,385.20/110,441
  6. Step 6: Final answer
    x = 41,002.90

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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.