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Finding the Fourth Proportional to 32,520.32, 48,783.74 and 8,828.26

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Solution

The fourth proportional to 32,520.32, 48,783.74 and 8,828.26 is: 13,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,520.32 : 48,783.74 = 8,828.26 : x
  2. Step 2: Convert to fraction form
    32,520.32/48,783.74 = 8,828.26/x
  3. Step 3: Cross multiply
    32,520.32x = 48,783.74 × 8,828.26
  4. Step 4: Simplify right side
    32,520.32x = 430,675,540.49
  5. Step 5: Solve for x
    x = 430,675,540.49/32,520.32
  6. Step 6: Final answer
    x = 13,243.27

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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.