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Finding the Fourth Proportional to 32,408.50, 44,723.76 and 17,504.50

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Solution

The fourth proportional to 32,408.50, 44,723.76 and 17,504.50 is: 24,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.50 : 44,723.76 = 17,504.50 : x
  2. Step 2: Convert to fraction form
    32,408.50/44,723.76 = 17,504.50/x
  3. Step 3: Cross multiply
    32,408.50x = 44,723.76 × 17,504.50
  4. Step 4: Simplify right side
    32,408.50x = 782,867,056.92
  5. Step 5: Solve for x
    x = 782,867,056.92/32,408.50
  6. Step 6: Final answer
    x = 24,156.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.