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Finding the Fourth Proportional to 32,434.36, 48,669.77 and 17,644.32

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Solution

The fourth proportional to 32,434.36, 48,669.77 and 17,644.32 is: 26,476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,434.36 : 48,669.77 = 17,644.32 : x
  2. Step 2: Convert to fraction form
    32,434.36/48,669.77 = 17,644.32/x
  3. Step 3: Cross multiply
    32,434.36x = 48,669.77 × 17,644.32
  4. Step 4: Simplify right side
    32,434.36x = 858,744,752.86
  5. Step 5: Solve for x
    x = 858,744,752.86/32,434.36
  6. Step 6: Final answer
    x = 26,476.39

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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.