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Finding the Fourth Proportional to 98,494.24, 135,921.84 and 53,782.24

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Solution

The fourth proportional to 98,494.24, 135,921.84 and 53,782.24 is: 74,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,494.24 : 135,921.84 = 53,782.24 : x
  2. Step 2: Convert to fraction form
    98,494.24/135,921.84 = 53,782.24/x
  3. Step 3: Cross multiply
    98,494.24x = 135,921.84 × 53,782.24
  4. Step 4: Simplify right side
    98,494.24x = 7,310,181,020.12
  5. Step 5: Solve for x
    x = 7,310,181,020.12/98,494.24
  6. Step 6: Final answer
    x = 74,219.38

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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.