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Finding the Fourth Proportional to 47,832.39, 71,756.43 and 14,544.74

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Solution

The fourth proportional to 47,832.39, 71,756.43 and 14,544.74 is: 21,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,832.39 : 71,756.43 = 14,544.74 : x
  2. Step 2: Convert to fraction form
    47,832.39/71,756.43 = 14,544.74/x
  3. Step 3: Cross multiply
    47,832.39x = 71,756.43 × 14,544.74
  4. Step 4: Simplify right side
    47,832.39x = 1,043,678,258.90
  5. Step 5: Solve for x
    x = 1,043,678,258.90/47,832.39
  6. Step 6: Final answer
    x = 21,819.49

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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.