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Finding the Fourth Proportional to 32,958.75, 49,437.70 and 7,999

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Solution

The fourth proportional to 32,958.75, 49,437.70 and 7,999 is: 11,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,958.75 : 49,437.70 = 7,999 : x
  2. Step 2: Convert to fraction form
    32,958.75/49,437.70 = 7,999/x
  3. Step 3: Cross multiply
    32,958.75x = 49,437.70 × 7,999
  4. Step 4: Simplify right side
    32,958.75x = 395,452,162.30
  5. Step 5: Solve for x
    x = 395,452,162.30/32,958.75
  6. Step 6: Final answer
    x = 11,998.40

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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.