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Finding the Fourth Proportional to 32,023.62, 48,038.27 and 8,331.12

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Solution

The fourth proportional to 32,023.62, 48,038.27 and 8,331.12 is: 12,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.62 : 48,038.27 = 8,331.12 : x
  2. Step 2: Convert to fraction form
    32,023.62/48,038.27 = 8,331.12/x
  3. Step 3: Cross multiply
    32,023.62x = 48,038.27 × 8,331.12
  4. Step 4: Simplify right side
    32,023.62x = 400,212,550.31
  5. Step 5: Solve for x
    x = 400,212,550.31/32,023.62
  6. Step 6: Final answer
    x = 12,497.42

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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.