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Finding the Fourth Proportional to 35,143.92, 48,494.40 and 20,994

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Solution

The fourth proportional to 35,143.92, 48,494.40 and 20,994 is: 28,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,143.92 : 48,494.40 = 20,994 : x
  2. Step 2: Convert to fraction form
    35,143.92/48,494.40 = 20,994/x
  3. Step 3: Cross multiply
    35,143.92x = 48,494.40 × 20,994
  4. Step 4: Simplify right side
    35,143.92x = 1,018,091,433.60
  5. Step 5: Solve for x
    x = 1,018,091,433.60/35,143.92
  6. Step 6: Final answer
    x = 28,969.21

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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.