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Finding the Fourth Proportional to 37,496.80, 56,246.21 and 16,426

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Solution

The fourth proportional to 37,496.80, 56,246.21 and 16,426 is: 24,639.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,496.80 : 56,246.21 = 16,426 : x
  2. Step 2: Convert to fraction form
    37,496.80/56,246.21 = 16,426/x
  3. Step 3: Cross multiply
    37,496.80x = 56,246.21 × 16,426
  4. Step 4: Simplify right side
    37,496.80x = 923,900,245.46
  5. Step 5: Solve for x
    x = 923,900,245.46/37,496.80
  6. Step 6: Final answer
    x = 24,639.44

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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.