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Finding the Fourth Proportional to 35,766.40, 49,361.12 and 20,659.52

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Solution

The fourth proportional to 35,766.40, 49,361.12 and 20,659.52 is: 28,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,766.40 : 49,361.12 = 20,659.52 : x
  2. Step 2: Convert to fraction form
    35,766.40/49,361.12 = 20,659.52/x
  3. Step 3: Cross multiply
    35,766.40x = 49,361.12 × 20,659.52
  4. Step 4: Simplify right side
    35,766.40x = 1,019,777,045.86
  5. Step 5: Solve for x
    x = 1,019,777,045.86/35,766.40
  6. Step 6: Final answer
    x = 28,512.15

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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.