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Finding the Fourth Proportional to 98,268.49, 135,614.15 and 55,834.21

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Solution

The fourth proportional to 98,268.49, 135,614.15 and 55,834.21 is: 77,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,268.49 : 135,614.15 = 55,834.21 : x
  2. Step 2: Convert to fraction form
    98,268.49/135,614.15 = 55,834.21/x
  3. Step 3: Cross multiply
    98,268.49x = 135,614.15 × 55,834.21
  4. Step 4: Simplify right side
    98,268.49x = 7,571,908,930.07
  5. Step 5: Solve for x
    x = 7,571,908,930.07/98,268.49
  6. Step 6: Final answer
    x = 77,053.27

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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.