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Finding the Fourth Proportional to 82,658.45, 114,069.80 and 44,933.51

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Solution

The fourth proportional to 82,658.45, 114,069.80 and 44,933.51 is: 62,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,658.45 : 114,069.80 = 44,933.51 : x
  2. Step 2: Convert to fraction form
    82,658.45/114,069.80 = 44,933.51/x
  3. Step 3: Cross multiply
    82,658.45x = 114,069.80 × 44,933.51
  4. Step 4: Simplify right side
    82,658.45x = 5,125,556,274.33
  5. Step 5: Solve for x
    x = 5,125,556,274.33/82,658.45
  6. Step 6: Final answer
    x = 62,008.86

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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.