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Finding the Fourth Proportional to 82,823.69, 114,266.66 and 46,992.94

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Solution

The fourth proportional to 82,823.69, 114,266.66 and 46,992.94 is: 64,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,823.69 : 114,266.66 = 46,992.94 : x
  2. Step 2: Convert to fraction form
    82,823.69/114,266.66 = 46,992.94/x
  3. Step 3: Cross multiply
    82,823.69x = 114,266.66 × 46,992.94
  4. Step 4: Simplify right side
    82,823.69x = 5,369,726,297.38
  5. Step 5: Solve for x
    x = 5,369,726,297.38/82,823.69
  6. Step 6: Final answer
    x = 64,833.22

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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.