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Finding the Fourth Proportional to 47,644.60, 71,448.58 and 22,665.40

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Solution

The fourth proportional to 47,644.60, 71,448.58 and 22,665.40 is: 33,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,644.60 : 71,448.58 = 22,665.40 : x
  2. Step 2: Convert to fraction form
    47,644.60/71,448.58 = 22,665.40/x
  3. Step 3: Cross multiply
    47,644.60x = 71,448.58 × 22,665.40
  4. Step 4: Simplify right side
    47,644.60x = 1,619,410,645.13
  5. Step 5: Solve for x
    x = 1,619,410,645.13/47,644.60
  6. Step 6: Final answer
    x = 33,989.38

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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.