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Finding the Fourth Proportional to 89,464.64, 134,198.08 and 38,852

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Solution

The fourth proportional to 89,464.64, 134,198.08 and 38,852 is: 58,278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,464.64 : 134,198.08 = 38,852 : x
  2. Step 2: Convert to fraction form
    89,464.64/134,198.08 = 38,852/x
  3. Step 3: Cross multiply
    89,464.64x = 134,198.08 × 38,852
  4. Step 4: Simplify right side
    89,464.64x = 5,213,863,804.16
  5. Step 5: Solve for x
    x = 5,213,863,804.16/89,464.64
  6. Step 6: Final answer
    x = 58,278.49

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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.