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Finding the Fourth Proportional to 31,999.80, 47,999.70 and 21,502.20

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Solution

The fourth proportional to 31,999.80, 47,999.70 and 21,502.20 is: 32,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.80 : 47,999.70 = 21,502.20 : x
  2. Step 2: Convert to fraction form
    31,999.80/47,999.70 = 21,502.20/x
  3. Step 3: Cross multiply
    31,999.80x = 47,999.70 × 21,502.20
  4. Step 4: Simplify right side
    31,999.80x = 1,032,099,149.34
  5. Step 5: Solve for x
    x = 1,032,099,149.34/31,999.80
  6. Step 6: Final answer
    x = 32,253.30

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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.