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Finding the Fourth Proportional to 32,541.84, 48,757.03 and 17,761.13

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Solution

The fourth proportional to 32,541.84, 48,757.03 and 17,761.13 is: 26,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,541.84 : 48,757.03 = 17,761.13 : x
  2. Step 2: Convert to fraction form
    32,541.84/48,757.03 = 17,761.13/x
  3. Step 3: Cross multiply
    32,541.84x = 48,757.03 × 17,761.13
  4. Step 4: Simplify right side
    32,541.84x = 865,979,615.65
  5. Step 5: Solve for x
    x = 865,979,615.65/32,541.84
  6. Step 6: Final answer
    x = 26,611.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.