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Finding the Fourth Proportional to 47,509.36, 71,274.22 and 17,523.70

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Solution

The fourth proportional to 47,509.36, 71,274.22 and 17,523.70 is: 26,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,509.36 : 71,274.22 = 17,523.70 : x
  2. Step 2: Convert to fraction form
    47,509.36/71,274.22 = 17,523.70/x
  3. Step 3: Cross multiply
    47,509.36x = 71,274.22 × 17,523.70
  4. Step 4: Simplify right side
    47,509.36x = 1,248,988,049.01
  5. Step 5: Solve for x
    x = 1,248,988,049.01/47,509.36
  6. Step 6: Final answer
    x = 26,289.30

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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.