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Finding the Fourth Proportional to 98,053.92, 135,296.42 and 65,835.32

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Solution

The fourth proportional to 98,053.92, 135,296.42 and 65,835.32 is: 90,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,053.92 : 135,296.42 = 65,835.32 : x
  2. Step 2: Convert to fraction form
    98,053.92/135,296.42 = 65,835.32/x
  3. Step 3: Cross multiply
    98,053.92x = 135,296.42 × 65,835.32
  4. Step 4: Simplify right side
    98,053.92x = 8,907,282,099.90
  5. Step 5: Solve for x
    x = 8,907,282,099.90/98,053.92
  6. Step 6: Final answer
    x = 90,840.65

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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.