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Finding the Fourth Proportional to 65,163.63, 97,753.14 and 20,774.82

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Solution

The fourth proportional to 65,163.63, 97,753.14 and 20,774.82 is: 31,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,163.63 : 97,753.14 = 20,774.82 : x
  2. Step 2: Convert to fraction form
    65,163.63/97,753.14 = 20,774.82/x
  3. Step 3: Cross multiply
    65,163.63x = 97,753.14 × 20,774.82
  4. Step 4: Simplify right side
    65,163.63x = 2,030,803,887.93
  5. Step 5: Solve for x
    x = 2,030,803,887.93/65,163.63
  6. Step 6: Final answer
    x = 31,164.68

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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.