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Finding the Fourth Proportional to 37,564.42, 56,375.20 and 13,894.36

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Solution

The fourth proportional to 37,564.42, 56,375.20 and 13,894.36 is: 20,852.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,564.42 : 56,375.20 = 13,894.36 : x
  2. Step 2: Convert to fraction form
    37,564.42/56,375.20 = 13,894.36/x
  3. Step 3: Cross multiply
    37,564.42x = 56,375.20 × 13,894.36
  4. Step 4: Simplify right side
    37,564.42x = 783,297,323.87
  5. Step 5: Solve for x
    x = 783,297,323.87/37,564.42
  6. Step 6: Final answer
    x = 20,852.11

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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.