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Finding the Fourth Proportional to 65,195.40, 97,796.30 and 34,091.40

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Solution

The fourth proportional to 65,195.40, 97,796.30 and 34,091.40 is: 51,138.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.40 : 97,796.30 = 34,091.40 : x
  2. Step 2: Convert to fraction form
    65,195.40/97,796.30 = 34,091.40/x
  3. Step 3: Cross multiply
    65,195.40x = 97,796.30 × 34,091.40
  4. Step 4: Simplify right side
    65,195.40x = 3,334,012,781.82
  5. Step 5: Solve for x
    x = 3,334,012,781.82/65,195.40
  6. Step 6: Final answer
    x = 51,138.77

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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.