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Finding the Fourth Proportional to 32,692, 49,038 and 8,068

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Solution

The fourth proportional to 32,692, 49,038 and 8,068 is: 12,102

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692 : 49,038 = 8,068 : x
  2. Step 2: Convert to fraction form
    32,692/49,038 = 8,068/x
  3. Step 3: Cross multiply
    32,692x = 49,038 × 8,068
  4. Step 4: Simplify right side
    32,692x = 395,638,584
  5. Step 5: Solve for x
    x = 395,638,584/32,692
  6. Step 6: Final answer
    x = 12,102

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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.