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Finding the Fourth Proportional to 32,553.51, 48,834.18 and 11,489.21

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Solution

The fourth proportional to 32,553.51, 48,834.18 and 11,489.21 is: 17,235.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.51 : 48,834.18 = 11,489.21 : x
  2. Step 2: Convert to fraction form
    32,553.51/48,834.18 = 11,489.21/x
  3. Step 3: Cross multiply
    32,553.51x = 48,834.18 × 11,489.21
  4. Step 4: Simplify right side
    32,553.51x = 561,065,905.03
  5. Step 5: Solve for x
    x = 561,065,905.03/32,553.51
  6. Step 6: Final answer
    x = 17,235.19

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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.