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Finding the Fourth Proportional to 30,564.25, 45,846.69 and 12,096.25

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Solution

The fourth proportional to 30,564.25, 45,846.69 and 12,096.25 is: 18,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.25 : 45,846.69 = 12,096.25 : x
  2. Step 2: Convert to fraction form
    30,564.25/45,846.69 = 12,096.25/x
  3. Step 3: Cross multiply
    30,564.25x = 45,846.69 × 12,096.25
  4. Step 4: Simplify right side
    30,564.25x = 554,573,023.91
  5. Step 5: Solve for x
    x = 554,573,023.91/30,564.25
  6. Step 6: Final answer
    x = 18,144.50

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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.