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Finding the Fourth Proportional to 82,133.66, 113,343.90 and 46,323.98

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Solution

The fourth proportional to 82,133.66, 113,343.90 and 46,323.98 is: 63,926.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,133.66 : 113,343.90 = 46,323.98 : x
  2. Step 2: Convert to fraction form
    82,133.66/113,343.90 = 46,323.98/x
  3. Step 3: Cross multiply
    82,133.66x = 113,343.90 × 46,323.98
  4. Step 4: Simplify right side
    82,133.66x = 5,250,540,556.72
  5. Step 5: Solve for x
    x = 5,250,540,556.72/82,133.66
  6. Step 6: Final answer
    x = 63,926.78

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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.