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Finding the Fourth Proportional to 32,398.40, 48,604.18 and 13,678.48

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Solution

The fourth proportional to 32,398.40, 48,604.18 and 13,678.48 is: 20,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,398.40 : 48,604.18 = 13,678.48 : x
  2. Step 2: Convert to fraction form
    32,398.40/48,604.18 = 13,678.48/x
  3. Step 3: Cross multiply
    32,398.40x = 48,604.18 × 13,678.48
  4. Step 4: Simplify right side
    32,398.40x = 664,831,304.05
  5. Step 5: Solve for x
    x = 664,831,304.05/32,398.40
  6. Step 6: Final answer
    x = 20,520.50

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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.