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Finding the Fourth Proportional to 75,846.51, 113,769.77 and 71,171.79

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Solution

The fourth proportional to 75,846.51, 113,769.77 and 71,171.79 is: 106,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.51 : 113,769.77 = 71,171.79 : x
  2. Step 2: Convert to fraction form
    75,846.51/113,769.77 = 71,171.79/x
  3. Step 3: Cross multiply
    75,846.51x = 113,769.77 × 71,171.79
  4. Step 4: Simplify right side
    75,846.51x = 8,097,197,822.93
  5. Step 5: Solve for x
    x = 8,097,197,822.93/75,846.51
  6. Step 6: Final answer
    x = 106,757.69

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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.