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Finding the Fourth Proportional to 50,271.30, 75,400.02 and 27,823.50

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Solution

The fourth proportional to 50,271.30, 75,400.02 and 27,823.50 is: 41,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,271.30 : 75,400.02 = 27,823.50 : x
  2. Step 2: Convert to fraction form
    50,271.30/75,400.02 = 27,823.50/x
  3. Step 3: Cross multiply
    50,271.30x = 75,400.02 × 27,823.50
  4. Step 4: Simplify right side
    50,271.30x = 2,097,892,456.47
  5. Step 5: Solve for x
    x = 2,097,892,456.47/50,271.30
  6. Step 6: Final answer
    x = 41,731.41

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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.