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Finding the Fourth Proportional to 50,999.20, 76,498.80 and 31,316.20

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Solution

The fourth proportional to 50,999.20, 76,498.80 and 31,316.20 is: 46,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,999.20 : 76,498.80 = 31,316.20 : x
  2. Step 2: Convert to fraction form
    50,999.20/76,498.80 = 31,316.20/x
  3. Step 3: Cross multiply
    50,999.20x = 76,498.80 × 31,316.20
  4. Step 4: Simplify right side
    50,999.20x = 2,395,651,720.56
  5. Step 5: Solve for x
    x = 2,395,651,720.56/50,999.20
  6. Step 6: Final answer
    x = 46,974.30

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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.