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Finding the Fourth Proportional to 37,653.78, 56,446.11 and 13,012.50

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Solution

The fourth proportional to 37,653.78, 56,446.11 and 13,012.50 is: 19,506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,653.78 : 56,446.11 = 13,012.50 : x
  2. Step 2: Convert to fraction form
    37,653.78/56,446.11 = 13,012.50/x
  3. Step 3: Cross multiply
    37,653.78x = 56,446.11 × 13,012.50
  4. Step 4: Simplify right side
    37,653.78x = 734,505,006.38
  5. Step 5: Solve for x
    x = 734,505,006.38/37,653.78
  6. Step 6: Final answer
    x = 19,506.81

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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.