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Finding the Fourth Proportional to 110,646, 165,970.62 and 27,540

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Solution

The fourth proportional to 110,646, 165,970.62 and 27,540 is: 41,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,646 : 165,970.62 = 27,540 : x
  2. Step 2: Convert to fraction form
    110,646/165,970.62 = 27,540/x
  3. Step 3: Cross multiply
    110,646x = 165,970.62 × 27,540
  4. Step 4: Simplify right side
    110,646x = 4,570,830,874.80
  5. Step 5: Solve for x
    x = 4,570,830,874.80/110,646
  6. Step 6: Final answer
    x = 41,310.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.