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Finding the Fourth Proportional to 65,014.14, 97,524.60 and 20,644.38

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Solution

The fourth proportional to 65,014.14, 97,524.60 and 20,644.38 is: 30,967.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.14 : 97,524.60 = 20,644.38 : x
  2. Step 2: Convert to fraction form
    65,014.14/97,524.60 = 20,644.38/x
  3. Step 3: Cross multiply
    65,014.14x = 97,524.60 × 20,644.38
  4. Step 4: Simplify right side
    65,014.14x = 2,013,334,901.75
  5. Step 5: Solve for x
    x = 2,013,334,901.75/65,014.14
  6. Step 6: Final answer
    x = 30,967.65

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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.