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Finding the Fourth Proportional to 32,788, 49,182.18 and 8,164

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Solution

The fourth proportional to 32,788, 49,182.18 and 8,164 is: 12,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,788 : 49,182.18 = 8,164 : x
  2. Step 2: Convert to fraction form
    32,788/49,182.18 = 8,164/x
  3. Step 3: Cross multiply
    32,788x = 49,182.18 × 8,164
  4. Step 4: Simplify right side
    32,788x = 401,523,317.52
  5. Step 5: Solve for x
    x = 401,523,317.52/32,788
  6. Step 6: Final answer
    x = 12,246.04

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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.