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Finding the Fourth Proportional to 32,009.96, 44,174.08 and 17,862.50

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Solution

The fourth proportional to 32,009.96, 44,174.08 and 17,862.50 is: 24,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.96 : 44,174.08 = 17,862.50 : x
  2. Step 2: Convert to fraction form
    32,009.96/44,174.08 = 17,862.50/x
  3. Step 3: Cross multiply
    32,009.96x = 44,174.08 × 17,862.50
  4. Step 4: Simplify right side
    32,009.96x = 789,059,504
  5. Step 5: Solve for x
    x = 789,059,504/32,009.96
  6. Step 6: Final answer
    x = 24,650.44

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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.