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Finding the Fourth Proportional to 65,207.66, 97,836.10 and 23,086.04

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Solution

The fourth proportional to 65,207.66, 97,836.10 and 23,086.04 is: 34,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.66 : 97,836.10 = 23,086.04 : x
  2. Step 2: Convert to fraction form
    65,207.66/97,836.10 = 23,086.04/x
  3. Step 3: Cross multiply
    65,207.66x = 97,836.10 × 23,086.04
  4. Step 4: Simplify right side
    65,207.66x = 2,258,647,571.15
  5. Step 5: Solve for x
    x = 2,258,647,571.15/65,207.66
  6. Step 6: Final answer
    x = 34,637.77

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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.