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Finding the Fourth Proportional to 32,203.62, 48,304.35 and 11,412.54

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Solution

The fourth proportional to 32,203.62, 48,304.35 and 11,412.54 is: 17,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,203.62 : 48,304.35 = 11,412.54 : x
  2. Step 2: Convert to fraction form
    32,203.62/48,304.35 = 11,412.54/x
  3. Step 3: Cross multiply
    32,203.62x = 48,304.35 × 11,412.54
  4. Step 4: Simplify right side
    32,203.62x = 551,275,326.55
  5. Step 5: Solve for x
    x = 551,275,326.55/32,203.62
  6. Step 6: Final answer
    x = 17,118.43

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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.