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Finding the Fourth Proportional to 82,639.81, 114,042.39 and 44,914.06

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Solution

The fourth proportional to 82,639.81, 114,042.39 and 44,914.06 is: 61,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,639.81 : 114,042.39 = 44,914.06 : x
  2. Step 2: Convert to fraction form
    82,639.81/114,042.39 = 44,914.06/x
  3. Step 3: Cross multiply
    82,639.81x = 114,042.39 × 44,914.06
  4. Step 4: Simplify right side
    82,639.81x = 5,122,106,747.00
  5. Step 5: Solve for x
    x = 5,122,106,747.00/82,639.81
  6. Step 6: Final answer
    x = 61,981.11

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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.