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Finding the Fourth Proportional to 32,553.60, 44,918.64 and 19,122

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Solution

The fourth proportional to 32,553.60, 44,918.64 and 19,122 is: 26,385.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.60 : 44,918.64 = 19,122 : x
  2. Step 2: Convert to fraction form
    32,553.60/44,918.64 = 19,122/x
  3. Step 3: Cross multiply
    32,553.60x = 44,918.64 × 19,122
  4. Step 4: Simplify right side
    32,553.60x = 858,934,234.08
  5. Step 5: Solve for x
    x = 858,934,234.08/32,553.60
  6. Step 6: Final answer
    x = 26,385.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.