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Finding the Fourth Proportional to 32,224.80, 48,298.80 and 13,504.80

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Solution

The fourth proportional to 32,224.80, 48,298.80 and 13,504.80 is: 20,241.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.80 : 48,298.80 = 13,504.80 : x
  2. Step 2: Convert to fraction form
    32,224.80/48,298.80 = 13,504.80/x
  3. Step 3: Cross multiply
    32,224.80x = 48,298.80 × 13,504.80
  4. Step 4: Simplify right side
    32,224.80x = 652,265,634.24
  5. Step 5: Solve for x
    x = 652,265,634.24/32,224.80
  6. Step 6: Final answer
    x = 20,241.11

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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.