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Finding the Fourth Proportional to 32,017, 44,113.50 and 23,917

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Solution

The fourth proportional to 32,017, 44,113.50 and 23,917 is: 32,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,017 : 44,113.50 = 23,917 : x
  2. Step 2: Convert to fraction form
    32,017/44,113.50 = 23,917/x
  3. Step 3: Cross multiply
    32,017x = 44,113.50 × 23,917
  4. Step 4: Simplify right side
    32,017x = 1,055,062,579.50
  5. Step 5: Solve for x
    x = 1,055,062,579.50/32,017
  6. Step 6: Final answer
    x = 32,953.20

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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.