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Finding the Fourth Proportional to 109,449.64, 164,174.48 and 26,343.64

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Solution

The fourth proportional to 109,449.64, 164,174.48 and 26,343.64 is: 39,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,449.64 : 164,174.48 = 26,343.64 : x
  2. Step 2: Convert to fraction form
    109,449.64/164,174.48 = 26,343.64/x
  3. Step 3: Cross multiply
    109,449.64x = 164,174.48 × 26,343.64
  4. Step 4: Simplify right side
    109,449.64x = 4,324,953,398.31
  5. Step 5: Solve for x
    x = 4,324,953,398.31/109,449.64
  6. Step 6: Final answer
    x = 39,515.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.