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Finding the Fourth Proportional to 83,212.36, 114,833.58 and 44,971.82

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Solution

The fourth proportional to 83,212.36, 114,833.58 and 44,971.82 is: 62,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,212.36 : 114,833.58 = 44,971.82 : x
  2. Step 2: Convert to fraction form
    83,212.36/114,833.58 = 44,971.82/x
  3. Step 3: Cross multiply
    83,212.36x = 114,833.58 × 44,971.82
  4. Step 4: Simplify right side
    83,212.36x = 5,164,275,125.36
  5. Step 5: Solve for x
    x = 5,164,275,125.36/83,212.36
  6. Step 6: Final answer
    x = 62,061.39

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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.