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Finding the Fourth Proportional to 32,023.34, 44,191.96 and 17,683.17

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Solution

The fourth proportional to 32,023.34, 44,191.96 and 17,683.17 is: 24,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.34 : 44,191.96 = 17,683.17 : x
  2. Step 2: Convert to fraction form
    32,023.34/44,191.96 = 17,683.17/x
  3. Step 3: Cross multiply
    32,023.34x = 44,191.96 × 17,683.17
  4. Step 4: Simplify right side
    32,023.34x = 781,453,941.31
  5. Step 5: Solve for x
    x = 781,453,941.31/32,023.34
  6. Step 6: Final answer
    x = 24,402.64

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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.