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Finding the Fourth Proportional to 47,578.93, 71,271.50 and 22,543.09

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Solution

The fourth proportional to 47,578.93, 71,271.50 and 22,543.09 is: 33,768.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,578.93 : 71,271.50 = 22,543.09 : x
  2. Step 2: Convert to fraction form
    47,578.93/71,271.50 = 22,543.09/x
  3. Step 3: Cross multiply
    47,578.93x = 71,271.50 × 22,543.09
  4. Step 4: Simplify right side
    47,578.93x = 1,606,679,838.94
  5. Step 5: Solve for x
    x = 1,606,679,838.94/47,578.93
  6. Step 6: Final answer
    x = 33,768.73

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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.