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Finding the Fourth Proportional to 35,072.50, 48,401.49 and 20,168.50

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Solution

The fourth proportional to 35,072.50, 48,401.49 and 20,168.50 is: 27,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,072.50 : 48,401.49 = 20,168.50 : x
  2. Step 2: Convert to fraction form
    35,072.50/48,401.49 = 20,168.50/x
  3. Step 3: Cross multiply
    35,072.50x = 48,401.49 × 20,168.50
  4. Step 4: Simplify right side
    35,072.50x = 976,185,451.07
  5. Step 5: Solve for x
    x = 976,185,451.07/35,072.50
  6. Step 6: Final answer
    x = 27,833.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.