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Finding the Fourth Proportional to 98,034.24, 135,286.80 and 53,322.24

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Solution

The fourth proportional to 98,034.24, 135,286.80 and 53,322.24 is: 73,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,034.24 : 135,286.80 = 53,322.24 : x
  2. Step 2: Convert to fraction form
    98,034.24/135,286.80 = 53,322.24/x
  3. Step 3: Cross multiply
    98,034.24x = 135,286.80 × 53,322.24
  4. Step 4: Simplify right side
    98,034.24x = 7,213,795,218.43
  5. Step 5: Solve for x
    x = 7,213,795,218.43/98,034.24
  6. Step 6: Final answer
    x = 73,584.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.