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Finding the Fourth Proportional to 98,548.50, 135,996.94 and 53,226.48

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Solution

The fourth proportional to 98,548.50, 135,996.94 and 53,226.48 is: 73,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,548.50 : 135,996.94 = 53,226.48 : x
  2. Step 2: Convert to fraction form
    98,548.50/135,996.94 = 53,226.48/x
  3. Step 3: Cross multiply
    98,548.50x = 135,996.94 × 53,226.48
  4. Step 4: Simplify right side
    98,548.50x = 7,238,638,406.97
  5. Step 5: Solve for x
    x = 7,238,638,406.97/98,548.50
  6. Step 6: Final answer
    x = 73,452.55

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1.5x scale

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.