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Finding the Fourth Proportional to 32,383.80, 48,548.70 and 13,678.20

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Solution

The fourth proportional to 32,383.80, 48,548.70 and 13,678.20 is: 20,505.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,383.80 : 48,548.70 = 13,678.20 : x
  2. Step 2: Convert to fraction form
    32,383.80/48,548.70 = 13,678.20/x
  3. Step 3: Cross multiply
    32,383.80x = 48,548.70 × 13,678.20
  4. Step 4: Simplify right side
    32,383.80x = 664,058,828.34
  5. Step 5: Solve for x
    x = 664,058,828.34/32,383.80
  6. Step 6: Final answer
    x = 20,505.90

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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.