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Finding the Fourth Proportional to 30,308.80, 45,463.20 and 13,687.60

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Solution

The fourth proportional to 30,308.80, 45,463.20 and 13,687.60 is: 20,531.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,308.80 : 45,463.20 = 13,687.60 : x
  2. Step 2: Convert to fraction form
    30,308.80/45,463.20 = 13,687.60/x
  3. Step 3: Cross multiply
    30,308.80x = 45,463.20 × 13,687.60
  4. Step 4: Simplify right side
    30,308.80x = 622,282,096.32
  5. Step 5: Solve for x
    x = 622,282,096.32/30,308.80
  6. Step 6: Final answer
    x = 20,531.40

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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.