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Finding the Fourth Proportional to 65,165, 97,748.64 and 25,721.84

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Solution

The fourth proportional to 65,165, 97,748.64 and 25,721.84 is: 38,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,165 : 97,748.64 = 25,721.84 : x
  2. Step 2: Convert to fraction form
    65,165/97,748.64 = 25,721.84/x
  3. Step 3: Cross multiply
    65,165x = 97,748.64 × 25,721.84
  4. Step 4: Simplify right side
    65,165x = 2,514,274,878.30
  5. Step 5: Solve for x
    x = 2,514,274,878.30/65,165
  6. Step 6: Final answer
    x = 38,583.21

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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.