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Finding the Fourth Proportional to 98,270.74, 135,617.26 and 55,836.46

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Solution

The fourth proportional to 98,270.74, 135,617.26 and 55,836.46 is: 77,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270.74 : 135,617.26 = 55,836.46 : x
  2. Step 2: Convert to fraction form
    98,270.74/135,617.26 = 55,836.46/x
  3. Step 3: Cross multiply
    98,270.74x = 135,617.26 × 55,836.46
  4. Step 4: Simplify right side
    98,270.74x = 7,572,387,713.30
  5. Step 5: Solve for x
    x = 7,572,387,713.30/98,270.74
  6. Step 6: Final answer
    x = 77,056.38

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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.