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Finding the Fourth Proportional to 32,002.71, 47,998.30 and 8,623.69

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Solution

The fourth proportional to 32,002.71, 47,998.30 and 8,623.69 is: 12,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.71 : 47,998.30 = 8,623.69 : x
  2. Step 2: Convert to fraction form
    32,002.71/47,998.30 = 8,623.69/x
  3. Step 3: Cross multiply
    32,002.71x = 47,998.30 × 8,623.69
  4. Step 4: Simplify right side
    32,002.71x = 413,922,416.61
  5. Step 5: Solve for x
    x = 413,922,416.61/32,002.71
  6. Step 6: Final answer
    x = 12,933.98

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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.