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Finding the Fourth Proportional to 32,193.80, 48,252.30 and 13,473.80

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Solution

The fourth proportional to 32,193.80, 48,252.30 and 13,473.80 is: 20,194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.80 : 48,252.30 = 13,473.80 : x
  2. Step 2: Convert to fraction form
    32,193.80/48,252.30 = 13,473.80/x
  3. Step 3: Cross multiply
    32,193.80x = 48,252.30 × 13,473.80
  4. Step 4: Simplify right side
    32,193.80x = 650,141,839.74
  5. Step 5: Solve for x
    x = 650,141,839.74/32,193.80
  6. Step 6: Final answer
    x = 20,194.63

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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.