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Finding the Fourth Proportional to 32,021.25, 44,193.77 and 17,875

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Solution

The fourth proportional to 32,021.25, 44,193.77 and 17,875 is: 24,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,021.25 : 44,193.77 = 17,875 : x
  2. Step 2: Convert to fraction form
    32,021.25/44,193.77 = 17,875/x
  3. Step 3: Cross multiply
    32,021.25x = 44,193.77 × 17,875
  4. Step 4: Simplify right side
    32,021.25x = 789,963,638.75
  5. Step 5: Solve for x
    x = 789,963,638.75/32,021.25
  6. Step 6: Final answer
    x = 24,669.98

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