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Finding the Fourth Proportional to 65,236.40, 97,857.80 and 34,132.40

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Solution

The fourth proportional to 65,236.40, 97,857.80 and 34,132.40 is: 51,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,236.40 : 97,857.80 = 34,132.40 : x
  2. Step 2: Convert to fraction form
    65,236.40/97,857.80 = 34,132.40/x
  3. Step 3: Cross multiply
    65,236.40x = 97,857.80 × 34,132.40
  4. Step 4: Simplify right side
    65,236.40x = 3,340,121,572.72
  5. Step 5: Solve for x
    x = 3,340,121,572.72/65,236.40
  6. Step 6: Final answer
    x = 51,200.27

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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.