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Finding the Fourth Proportional to 37,710.50, 56,568.50 and 12,742.25

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Solution

The fourth proportional to 37,710.50, 56,568.50 and 12,742.25 is: 19,114.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,710.50 : 56,568.50 = 12,742.25 : x
  2. Step 2: Convert to fraction form
    37,710.50/56,568.50 = 12,742.25/x
  3. Step 3: Cross multiply
    37,710.50x = 56,568.50 × 12,742.25
  4. Step 4: Simplify right side
    37,710.50x = 720,809,622.57
  5. Step 5: Solve for x
    x = 720,809,622.57/37,710.50
  6. Step 6: Final answer
    x = 19,114.30

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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.