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Finding the Fourth Proportional to 98,411.38, 135,794.01 and 55,965.22

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Solution

The fourth proportional to 98,411.38, 135,794.01 and 55,965.22 is: 77,224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.38 : 135,794.01 = 55,965.22 : x
  2. Step 2: Convert to fraction form
    98,411.38/135,794.01 = 55,965.22/x
  3. Step 3: Cross multiply
    98,411.38x = 135,794.01 × 55,965.22
  4. Step 4: Simplify right side
    98,411.38x = 7,599,741,644.33
  5. Step 5: Solve for x
    x = 7,599,741,644.33/98,411.38
  6. Step 6: Final answer
    x = 77,224.22

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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.