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Finding the Fourth Proportional to 32,737.08, 49,091.04 and 11,946

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Solution

The fourth proportional to 32,737.08, 49,091.04 and 11,946 is: 17,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,737.08 : 49,091.04 = 11,946 : x
  2. Step 2: Convert to fraction form
    32,737.08/49,091.04 = 11,946/x
  3. Step 3: Cross multiply
    32,737.08x = 49,091.04 × 11,946
  4. Step 4: Simplify right side
    32,737.08x = 586,441,563.84
  5. Step 5: Solve for x
    x = 586,441,563.84/32,737.08
  6. Step 6: Final answer
    x = 17,913.68

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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.