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Finding the Fourth Proportional to 37,471.30, 56,225.34 and 16,408.48

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Solution

The fourth proportional to 37,471.30, 56,225.34 and 16,408.48 is: 24,620.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,471.30 : 56,225.34 = 16,408.48 : x
  2. Step 2: Convert to fraction form
    37,471.30/56,225.34 = 16,408.48/x
  3. Step 3: Cross multiply
    37,471.30x = 56,225.34 × 16,408.48
  4. Step 4: Simplify right side
    37,471.30x = 922,572,366.88
  5. Step 5: Solve for x
    x = 922,572,366.88/37,471.30
  6. Step 6: Final answer
    x = 24,620.77

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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.