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Finding the Fourth Proportional to 65,843.20, 97,996.80 and 65,638.40

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Solution

The fourth proportional to 65,843.20, 97,996.80 and 65,638.40 is: 97,691.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,843.20 : 97,996.80 = 65,638.40 : x
  2. Step 2: Convert to fraction form
    65,843.20/97,996.80 = 65,638.40/x
  3. Step 3: Cross multiply
    65,843.20x = 97,996.80 × 65,638.40
  4. Step 4: Simplify right side
    65,843.20x = 6,432,353,157.12
  5. Step 5: Solve for x
    x = 6,432,353,157.12/65,843.20
  6. Step 6: Final answer
    x = 97,691.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.