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Finding the Fourth Proportional to 37,781.16, 56,675.70 and 12,820.20

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Solution

The fourth proportional to 37,781.16, 56,675.70 and 12,820.20 is: 19,231.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,781.16 : 56,675.70 = 12,820.20 : x
  2. Step 2: Convert to fraction form
    37,781.16/56,675.70 = 12,820.20/x
  3. Step 3: Cross multiply
    37,781.16x = 56,675.70 × 12,820.20
  4. Step 4: Simplify right side
    37,781.16x = 726,593,809.14
  5. Step 5: Solve for x
    x = 726,593,809.14/37,781.16
  6. Step 6: Final answer
    x = 19,231.64

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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.