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Finding the Fourth Proportional to 32,314.31, 44,563.65 and 20,971.68

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Solution

The fourth proportional to 32,314.31, 44,563.65 and 20,971.68 is: 28,921.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,314.31 : 44,563.65 = 20,971.68 : x
  2. Step 2: Convert to fraction form
    32,314.31/44,563.65 = 20,971.68/x
  3. Step 3: Cross multiply
    32,314.31x = 44,563.65 × 20,971.68
  4. Step 4: Simplify right side
    32,314.31x = 934,574,607.43
  5. Step 5: Solve for x
    x = 934,574,607.43/32,314.31
  6. Step 6: Final answer
    x = 28,921.39

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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.