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Finding the Fourth Proportional to 37,511.20, 56,266.80 and 9,809.20

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Solution

The fourth proportional to 37,511.20, 56,266.80 and 9,809.20 is: 14,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,511.20 : 56,266.80 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    37,511.20/56,266.80 = 9,809.20/x
  3. Step 3: Cross multiply
    37,511.20x = 56,266.80 × 9,809.20
  4. Step 4: Simplify right side
    37,511.20x = 551,932,294.56
  5. Step 5: Solve for x
    x = 551,932,294.56/37,511.20
  6. Step 6: Final answer
    x = 14,713.80

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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.