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Finding the Fourth Proportional to 47,788.16, 71,719.34 and 33,100

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Solution

The fourth proportional to 47,788.16, 71,719.34 and 33,100 is: 49,675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,788.16 : 71,719.34 = 33,100 : x
  2. Step 2: Convert to fraction form
    47,788.16/71,719.34 = 33,100/x
  3. Step 3: Cross multiply
    47,788.16x = 71,719.34 × 33,100
  4. Step 4: Simplify right side
    47,788.16x = 2,373,910,154
  5. Step 5: Solve for x
    x = 2,373,910,154/47,788.16
  6. Step 6: Final answer
    x = 49,675.70

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