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Finding the Fourth Proportional to 35,076.80, 52,512.80 and 31,390.40

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Solution

The fourth proportional to 35,076.80, 52,512.80 and 31,390.40 is: 46,993.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,076.80 : 52,512.80 = 31,390.40 : x
  2. Step 2: Convert to fraction form
    35,076.80/52,512.80 = 31,390.40/x
  3. Step 3: Cross multiply
    35,076.80x = 52,512.80 × 31,390.40
  4. Step 4: Simplify right side
    35,076.80x = 1,648,397,797.12
  5. Step 5: Solve for x
    x = 1,648,397,797.12/35,076.80
  6. Step 6: Final answer
    x = 46,993.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.