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Finding the Fourth Proportional to 32,005.80, 48,008.70 and 11,231.40

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Solution

The fourth proportional to 32,005.80, 48,008.70 and 11,231.40 is: 16,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.80 : 48,008.70 = 11,231.40 : x
  2. Step 2: Convert to fraction form
    32,005.80/48,008.70 = 11,231.40/x
  3. Step 3: Cross multiply
    32,005.80x = 48,008.70 × 11,231.40
  4. Step 4: Simplify right side
    32,005.80x = 539,204,913.18
  5. Step 5: Solve for x
    x = 539,204,913.18/32,005.80
  6. Step 6: Final answer
    x = 16,847.10

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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.