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Finding the Fourth Proportional to 32,846.32, 49,270.22 and 11,787.76

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Solution

The fourth proportional to 32,846.32, 49,270.22 and 11,787.76 is: 17,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,846.32 : 49,270.22 = 11,787.76 : x
  2. Step 2: Convert to fraction form
    32,846.32/49,270.22 = 11,787.76/x
  3. Step 3: Cross multiply
    32,846.32x = 49,270.22 × 11,787.76
  4. Step 4: Simplify right side
    32,846.32x = 580,785,528.51
  5. Step 5: Solve for x
    x = 580,785,528.51/32,846.32
  6. Step 6: Final answer
    x = 17,681.91

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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.