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Finding the Fourth Proportional to 32,959.25, 49,438.46 and 7,999.50

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Solution

The fourth proportional to 32,959.25, 49,438.46 and 7,999.50 is: 11,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,959.25 : 49,438.46 = 7,999.50 : x
  2. Step 2: Convert to fraction form
    32,959.25/49,438.46 = 7,999.50/x
  3. Step 3: Cross multiply
    32,959.25x = 49,438.46 × 7,999.50
  4. Step 4: Simplify right side
    32,959.25x = 395,482,920.77
  5. Step 5: Solve for x
    x = 395,482,920.77/32,959.25
  6. Step 6: Final answer
    x = 11,999.15

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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.