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Finding the Fourth Proportional to 35,968.50, 53,972.19 and 17,500.50

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Solution

The fourth proportional to 35,968.50, 53,972.19 and 17,500.50 is: 26,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,968.50 : 53,972.19 = 17,500.50 : x
  2. Step 2: Convert to fraction form
    35,968.50/53,972.19 = 17,500.50/x
  3. Step 3: Cross multiply
    35,968.50x = 53,972.19 × 17,500.50
  4. Step 4: Simplify right side
    35,968.50x = 944,540,311.10
  5. Step 5: Solve for x
    x = 944,540,311.10/35,968.50
  6. Step 6: Final answer
    x = 26,260.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.