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Finding the Fourth Proportional to 65,196.81, 97,803.45 and 18,449.70

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Solution

The fourth proportional to 65,196.81, 97,803.45 and 18,449.70 is: 27,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.81 : 97,803.45 = 18,449.70 : x
  2. Step 2: Convert to fraction form
    65,196.81/97,803.45 = 18,449.70/x
  3. Step 3: Cross multiply
    65,196.81x = 97,803.45 × 18,449.70
  4. Step 4: Simplify right side
    65,196.81x = 1,804,444,311.47
  5. Step 5: Solve for x
    x = 1,804,444,311.47/65,196.81
  6. Step 6: Final answer
    x = 27,676.88

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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.