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Finding the Fourth Proportional to 37,635.71, 56,456.29 and 12,675.76

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Solution

The fourth proportional to 37,635.71, 56,456.29 and 12,675.76 is: 19,014.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,635.71 : 56,456.29 = 12,675.76 : x
  2. Step 2: Convert to fraction form
    37,635.71/56,456.29 = 12,675.76/x
  3. Step 3: Cross multiply
    37,635.71x = 56,456.29 × 12,675.76
  4. Step 4: Simplify right side
    37,635.71x = 715,626,257.23
  5. Step 5: Solve for x
    x = 715,626,257.23/37,635.71
  6. Step 6: Final answer
    x = 19,014.56

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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.