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Finding the Fourth Proportional to 65,216.50, 97,838.70 and 20,236.88

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Solution

The fourth proportional to 65,216.50, 97,838.70 and 20,236.88 is: 30,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.50 : 97,838.70 = 20,236.88 : x
  2. Step 2: Convert to fraction form
    65,216.50/97,838.70 = 20,236.88/x
  3. Step 3: Cross multiply
    65,216.50x = 97,838.70 × 20,236.88
  4. Step 4: Simplify right side
    65,216.50x = 1,979,950,031.26
  5. Step 5: Solve for x
    x = 1,979,950,031.26/65,216.50
  6. Step 6: Final answer
    x = 30,359.65

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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.