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Finding the Fourth Proportional to 65,218.50, 97,841.70 and 20,238.88

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Solution

The fourth proportional to 65,218.50, 97,841.70 and 20,238.88 is: 30,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,218.50 : 97,841.70 = 20,238.88 : x
  2. Step 2: Convert to fraction form
    65,218.50/97,841.70 = 20,238.88/x
  3. Step 3: Cross multiply
    65,218.50x = 97,841.70 × 20,238.88
  4. Step 4: Simplify right side
    65,218.50x = 1,980,206,425.30
  5. Step 5: Solve for x
    x = 1,980,206,425.30/65,218.50
  6. Step 6: Final answer
    x = 30,362.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.