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Finding the Fourth Proportional to 35,402.40, 48,846.48 and 22,812

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Solution

The fourth proportional to 35,402.40, 48,846.48 and 22,812 is: 31,474.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,402.40 : 48,846.48 = 22,812 : x
  2. Step 2: Convert to fraction form
    35,402.40/48,846.48 = 22,812/x
  3. Step 3: Cross multiply
    35,402.40x = 48,846.48 × 22,812
  4. Step 4: Simplify right side
    35,402.40x = 1,114,285,901.76
  5. Step 5: Solve for x
    x = 1,114,285,901.76/35,402.40
  6. Step 6: Final answer
    x = 31,474.87

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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.