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Finding the Fourth Proportional to 65,419.14, 98,131.80 and 23,299.60

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Solution

The fourth proportional to 65,419.14, 98,131.80 and 23,299.60 is: 34,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,419.14 : 98,131.80 = 23,299.60 : x
  2. Step 2: Convert to fraction form
    65,419.14/98,131.80 = 23,299.60/x
  3. Step 3: Cross multiply
    65,419.14x = 98,131.80 × 23,299.60
  4. Step 4: Simplify right side
    65,419.14x = 2,286,431,713.32
  5. Step 5: Solve for x
    x = 2,286,431,713.32/65,419.14
  6. Step 6: Final answer
    x = 34,950.50

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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.