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Finding the Fourth Proportional to 98,092.63, 135,358.47 and 55,062.27

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Solution

The fourth proportional to 98,092.63, 135,358.47 and 55,062.27 is: 75,980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,092.63 : 135,358.47 = 55,062.27 : x
  2. Step 2: Convert to fraction form
    98,092.63/135,358.47 = 55,062.27/x
  3. Step 3: Cross multiply
    98,092.63x = 135,358.47 × 55,062.27
  4. Step 4: Simplify right side
    98,092.63x = 7,453,144,621.93
  5. Step 5: Solve for x
    x = 7,453,144,621.93/98,092.63
  6. Step 6: Final answer
    x = 75,980.68

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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.