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Finding the Fourth Proportional to 32,546.50, 48,819.76 and 7,922.50

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Solution

The fourth proportional to 32,546.50, 48,819.76 and 7,922.50 is: 11,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,546.50 : 48,819.76 = 7,922.50 : x
  2. Step 2: Convert to fraction form
    32,546.50/48,819.76 = 7,922.50/x
  3. Step 3: Cross multiply
    32,546.50x = 48,819.76 × 7,922.50
  4. Step 4: Simplify right side
    32,546.50x = 386,774,548.60
  5. Step 5: Solve for x
    x = 386,774,548.60/32,546.50
  6. Step 6: Final answer
    x = 11,883.75

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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.