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Finding the Fourth Proportional to 83,244.83, 114,874.47 and 47,431.80

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Solution

The fourth proportional to 83,244.83, 114,874.47 and 47,431.80 is: 65,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244.83 : 114,874.47 = 47,431.80 : x
  2. Step 2: Convert to fraction form
    83,244.83/114,874.47 = 47,431.80/x
  3. Step 3: Cross multiply
    83,244.83x = 114,874.47 × 47,431.80
  4. Step 4: Simplify right side
    83,244.83x = 5,448,702,886.15
  5. Step 5: Solve for x
    x = 5,448,702,886.15/83,244.83
  6. Step 6: Final answer
    x = 65,453.95

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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.