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Finding the Fourth Proportional to 31,999.80, 47,999.70 and 9,816.60

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Solution

The fourth proportional to 31,999.80, 47,999.70 and 9,816.60 is: 14,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.80 : 47,999.70 = 9,816.60 : x
  2. Step 2: Convert to fraction form
    31,999.80/47,999.70 = 9,816.60/x
  3. Step 3: Cross multiply
    31,999.80x = 47,999.70 × 9,816.60
  4. Step 4: Simplify right side
    31,999.80x = 471,193,855.02
  5. Step 5: Solve for x
    x = 471,193,855.02/31,999.80
  6. Step 6: Final answer
    x = 14,724.90

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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.