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Finding the Fourth Proportional to 32,901.02, 49,351.54 and 9,212.06

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Solution

The fourth proportional to 32,901.02, 49,351.54 and 9,212.06 is: 13,818.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.02 : 49,351.54 = 9,212.06 : x
  2. Step 2: Convert to fraction form
    32,901.02/49,351.54 = 9,212.06/x
  3. Step 3: Cross multiply
    32,901.02x = 49,351.54 × 9,212.06
  4. Step 4: Simplify right side
    32,901.02x = 454,629,100.81
  5. Step 5: Solve for x
    x = 454,629,100.81/32,901.02
  6. Step 6: Final answer
    x = 13,818.09

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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.