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Finding the Fourth Proportional to 83,233.86, 124,792.44 and 30,636.54

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Solution

The fourth proportional to 83,233.86, 124,792.44 and 30,636.54 is: 45,933.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,233.86 : 124,792.44 = 30,636.54 : x
  2. Step 2: Convert to fraction form
    83,233.86/124,792.44 = 30,636.54/x
  3. Step 3: Cross multiply
    83,233.86x = 124,792.44 × 30,636.54
  4. Step 4: Simplify right side
    83,233.86x = 3,823,208,579.76
  5. Step 5: Solve for x
    x = 3,823,208,579.76/83,233.86
  6. Step 6: Final answer
    x = 45,933.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.