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Finding the Fourth Proportional to 35,812.12, 49,424.64 and 20,500

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Solution

The fourth proportional to 35,812.12, 49,424.64 and 20,500 is: 28,292.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,812.12 : 49,424.64 = 20,500 : x
  2. Step 2: Convert to fraction form
    35,812.12/49,424.64 = 20,500/x
  3. Step 3: Cross multiply
    35,812.12x = 49,424.64 × 20,500
  4. Step 4: Simplify right side
    35,812.12x = 1,013,205,120
  5. Step 5: Solve for x
    x = 1,013,205,120/35,812.12
  6. Step 6: Final answer
    x = 28,292.24

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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.