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Finding the Fourth Proportional to 77,076.33, 115,612.84 and 35,523.33

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Solution

The fourth proportional to 77,076.33, 115,612.84 and 35,523.33 is: 53,284.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076.33 : 115,612.84 = 35,523.33 : x
  2. Step 2: Convert to fraction form
    77,076.33/115,612.84 = 35,523.33/x
  3. Step 3: Cross multiply
    77,076.33x = 115,612.84 × 35,523.33
  4. Step 4: Simplify right side
    77,076.33x = 4,106,953,067.56
  5. Step 5: Solve for x
    x = 4,106,953,067.56/77,076.33
  6. Step 6: Final answer
    x = 53,284.23

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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.