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Finding the Fourth Proportional to 32,783.23, 49,179.71 and 10,589.23

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Solution

The fourth proportional to 32,783.23, 49,179.71 and 10,589.23 is: 15,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.23 : 49,179.71 = 10,589.23 : x
  2. Step 2: Convert to fraction form
    32,783.23/49,179.71 = 10,589.23/x
  3. Step 3: Cross multiply
    32,783.23x = 49,179.71 × 10,589.23
  4. Step 4: Simplify right side
    32,783.23x = 520,775,288.91
  5. Step 5: Solve for x
    x = 520,775,288.91/32,783.23
  6. Step 6: Final answer
    x = 15,885.42

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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.