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Finding the Fourth Proportional to 89,642.64, 134,464.02 and 27,313.14

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Solution

The fourth proportional to 89,642.64, 134,464.02 and 27,313.14 is: 40,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,642.64 : 134,464.02 = 27,313.14 : x
  2. Step 2: Convert to fraction form
    89,642.64/134,464.02 = 27,313.14/x
  3. Step 3: Cross multiply
    89,642.64x = 134,464.02 × 27,313.14
  4. Step 4: Simplify right side
    89,642.64x = 3,672,634,603.22
  5. Step 5: Solve for x
    x = 3,672,634,603.22/89,642.64
  6. Step 6: Final answer
    x = 40,969.73

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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.