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Finding the Fourth Proportional to 32,143.58, 48,222.25 and 16,350.80

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Solution

The fourth proportional to 32,143.58, 48,222.25 and 16,350.80 is: 24,529.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.58 : 48,222.25 = 16,350.80 : x
  2. Step 2: Convert to fraction form
    32,143.58/48,222.25 = 16,350.80/x
  3. Step 3: Cross multiply
    32,143.58x = 48,222.25 × 16,350.80
  4. Step 4: Simplify right side
    32,143.58x = 788,472,444.98
  5. Step 5: Solve for x
    x = 788,472,444.98/32,143.58
  6. Step 6: Final answer
    x = 24,529.71

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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.