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Finding the Fourth Proportional to 82,329.90, 113,613.66 and 46,521.42

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Solution

The fourth proportional to 82,329.90, 113,613.66 and 46,521.42 is: 64,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,329.90 : 113,613.66 = 46,521.42 : x
  2. Step 2: Convert to fraction form
    82,329.90/113,613.66 = 46,521.42/x
  3. Step 3: Cross multiply
    82,329.90x = 113,613.66 × 46,521.42
  4. Step 4: Simplify right side
    82,329.90x = 5,285,468,794.60
  5. Step 5: Solve for x
    x = 5,285,468,794.60/82,329.90
  6. Step 6: Final answer
    x = 64,198.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.