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Finding the Fourth Proportional to 110,440, 165,661.62 and 27,334

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Solution

The fourth proportional to 110,440, 165,661.62 and 27,334 is: 41,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,440 : 165,661.62 = 27,334 : x
  2. Step 2: Convert to fraction form
    110,440/165,661.62 = 27,334/x
  3. Step 3: Cross multiply
    110,440x = 165,661.62 × 27,334
  4. Step 4: Simplify right side
    110,440x = 4,528,194,721.08
  5. Step 5: Solve for x
    x = 4,528,194,721.08/110,440
  6. Step 6: Final answer
    x = 41,001.40

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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.