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Finding the Fourth Proportional to 43,805.80, 65,708.70 and 31,997.80

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Solution

The fourth proportional to 43,805.80, 65,708.70 and 31,997.80 is: 47,996.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805.80 : 65,708.70 = 31,997.80 : x
  2. Step 2: Convert to fraction form
    43,805.80/65,708.70 = 31,997.80/x
  3. Step 3: Cross multiply
    43,805.80x = 65,708.70 × 31,997.80
  4. Step 4: Simplify right side
    43,805.80x = 2,102,533,840.86
  5. Step 5: Solve for x
    x = 2,102,533,840.86/43,805.80
  6. Step 6: Final answer
    x = 47,996.70

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1.5x scale

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.