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Finding the Fourth Proportional to 32,450.40, 48,675.60 and 7,826.40

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Solution

The fourth proportional to 32,450.40, 48,675.60 and 7,826.40 is: 11,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.40 : 48,675.60 = 7,826.40 : x
  2. Step 2: Convert to fraction form
    32,450.40/48,675.60 = 7,826.40/x
  3. Step 3: Cross multiply
    32,450.40x = 48,675.60 × 7,826.40
  4. Step 4: Simplify right side
    32,450.40x = 380,954,715.84
  5. Step 5: Solve for x
    x = 380,954,715.84/32,450.40
  6. Step 6: Final answer
    x = 11,739.60

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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.