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Finding the Fourth Proportional to 37,589.83, 56,384.67 and 16,524.83

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Solution

The fourth proportional to 37,589.83, 56,384.67 and 16,524.83 is: 24,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,589.83 : 56,384.67 = 16,524.83 : x
  2. Step 2: Convert to fraction form
    37,589.83/56,384.67 = 16,524.83/x
  3. Step 3: Cross multiply
    37,589.83x = 56,384.67 × 16,524.83
  4. Step 4: Simplify right side
    37,589.83x = 931,747,086.36
  5. Step 5: Solve for x
    x = 931,747,086.36/37,589.83
  6. Step 6: Final answer
    x = 24,787.22

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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.