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Finding the Fourth Proportional to 49,747.50, 74,621.52 and 12,811.50

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Solution

The fourth proportional to 49,747.50, 74,621.52 and 12,811.50 is: 19,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,747.50 : 74,621.52 = 12,811.50 : x
  2. Step 2: Convert to fraction form
    49,747.50/74,621.52 = 12,811.50/x
  3. Step 3: Cross multiply
    49,747.50x = 74,621.52 × 12,811.50
  4. Step 4: Simplify right side
    49,747.50x = 956,013,603.48
  5. Step 5: Solve for x
    x = 956,013,603.48/49,747.50
  6. Step 6: Final answer
    x = 19,217.32

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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.