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Finding the Fourth Proportional to 32,194.50, 44,442.96 and 20,275.35

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Solution

The fourth proportional to 32,194.50, 44,442.96 and 20,275.35 is: 27,989.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.50 : 44,442.96 = 20,275.35 : x
  2. Step 2: Convert to fraction form
    32,194.50/44,442.96 = 20,275.35/x
  3. Step 3: Cross multiply
    32,194.50x = 44,442.96 × 20,275.35
  4. Step 4: Simplify right side
    32,194.50x = 901,096,569.04
  5. Step 5: Solve for x
    x = 901,096,569.04/32,194.50
  6. Step 6: Final answer
    x = 27,989.15

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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.