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Finding the Fourth Proportional to 38,032.74, 57,049.72 and 11,737.51

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Solution

The fourth proportional to 38,032.74, 57,049.72 and 11,737.51 is: 17,606.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032.74 : 57,049.72 = 11,737.51 : x
  2. Step 2: Convert to fraction form
    38,032.74/57,049.72 = 11,737.51/x
  3. Step 3: Cross multiply
    38,032.74x = 57,049.72 × 11,737.51
  4. Step 4: Simplify right side
    38,032.74x = 669,621,487.03
  5. Step 5: Solve for x
    x = 669,621,487.03/38,032.74
  6. Step 6: Final answer
    x = 17,606.45

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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.