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Finding the Fourth Proportional to 32,471.94, 48,713.04 and 13,752.09

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Solution

The fourth proportional to 32,471.94, 48,713.04 and 13,752.09 is: 20,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.94 : 48,713.04 = 13,752.09 : x
  2. Step 2: Convert to fraction form
    32,471.94/48,713.04 = 13,752.09/x
  3. Step 3: Cross multiply
    32,471.94x = 48,713.04 × 13,752.09
  4. Step 4: Simplify right side
    32,471.94x = 669,906,110.25
  5. Step 5: Solve for x
    x = 669,906,110.25/32,471.94
  6. Step 6: Final answer
    x = 20,630.31

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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.