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Finding the Fourth Proportional to 32,805.08, 49,178.40 and 12,023.72

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Solution

The fourth proportional to 32,805.08, 49,178.40 and 12,023.72 is: 18,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,805.08 : 49,178.40 = 12,023.72 : x
  2. Step 2: Convert to fraction form
    32,805.08/49,178.40 = 12,023.72/x
  3. Step 3: Cross multiply
    32,805.08x = 49,178.40 × 12,023.72
  4. Step 4: Simplify right side
    32,805.08x = 591,307,311.65
  5. Step 5: Solve for x
    x = 591,307,311.65/32,805.08
  6. Step 6: Final answer
    x = 18,024.87

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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.