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Finding the Fourth Proportional to 82,669.50, 114,083.91 and 44,943.75

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Solution

The fourth proportional to 82,669.50, 114,083.91 and 44,943.75 is: 62,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,669.50 : 114,083.91 = 44,943.75 : x
  2. Step 2: Convert to fraction form
    82,669.50/114,083.91 = 44,943.75/x
  3. Step 3: Cross multiply
    82,669.50x = 114,083.91 × 44,943.75
  4. Step 4: Simplify right side
    82,669.50x = 5,127,358,730.06
  5. Step 5: Solve for x
    x = 5,127,358,730.06/82,669.50
  6. Step 6: Final answer
    x = 62,022.38

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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.