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Finding the Fourth Proportional to 82,668.75, 114,083.01 and 44,943

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Solution

The fourth proportional to 82,668.75, 114,083.01 and 44,943 is: 62,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,668.75 : 114,083.01 = 44,943 : x
  2. Step 2: Convert to fraction form
    82,668.75/114,083.01 = 44,943/x
  3. Step 3: Cross multiply
    82,668.75x = 114,083.01 × 44,943
  4. Step 4: Simplify right side
    82,668.75x = 5,127,232,718.43
  5. Step 5: Solve for x
    x = 5,127,232,718.43/82,668.75
  6. Step 6: Final answer
    x = 62,021.41

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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.