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Finding the Fourth Proportional to 98,462.25, 135,823.19 and 64,525.48

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Solution

The fourth proportional to 98,462.25, 135,823.19 and 64,525.48 is: 89,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,462.25 : 135,823.19 = 64,525.48 : x
  2. Step 2: Convert to fraction form
    98,462.25/135,823.19 = 64,525.48/x
  3. Step 3: Cross multiply
    98,462.25x = 135,823.19 × 64,525.48
  4. Step 4: Simplify right side
    98,462.25x = 8,764,056,351.64
  5. Step 5: Solve for x
    x = 8,764,056,351.64/98,462.25
  6. Step 6: Final answer
    x = 89,009.30

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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.