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Finding the Fourth Proportional to 91,822.33, 137,807.31 and 47,462.08

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Solution

The fourth proportional to 91,822.33, 137,807.31 and 47,462.08 is: 71,231.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,822.33 : 137,807.31 = 47,462.08 : x
  2. Step 2: Convert to fraction form
    91,822.33/137,807.31 = 47,462.08/x
  3. Step 3: Cross multiply
    91,822.33x = 137,807.31 × 47,462.08
  4. Step 4: Simplify right side
    91,822.33x = 6,540,621,571.80
  5. Step 5: Solve for x
    x = 6,540,621,571.80/91,822.33
  6. Step 6: Final answer
    x = 71,231.27

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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.