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Finding the Fourth Proportional to 78,616.06, 117,925 and 33,631.30

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Solution

The fourth proportional to 78,616.06, 117,925 and 33,631.30 is: 50,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.06 : 117,925 = 33,631.30 : x
  2. Step 2: Convert to fraction form
    78,616.06/117,925 = 33,631.30/x
  3. Step 3: Cross multiply
    78,616.06x = 117,925 × 33,631.30
  4. Step 4: Simplify right side
    78,616.06x = 3,965,971,052.50
  5. Step 5: Solve for x
    x = 3,965,971,052.50/78,616.06
  6. Step 6: Final answer
    x = 50,447.34

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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.