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Finding the Fourth Proportional to 20,046.60, 30,061.62 and 7,564.50

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Solution

The fourth proportional to 20,046.60, 30,061.62 and 7,564.50 is: 11,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.60 : 30,061.62 = 7,564.50 : x
  2. Step 2: Convert to fraction form
    20,046.60/30,061.62 = 7,564.50/x
  3. Step 3: Cross multiply
    20,046.60x = 30,061.62 × 7,564.50
  4. Step 4: Simplify right side
    20,046.60x = 227,401,124.49
  5. Step 5: Solve for x
    x = 227,401,124.49/20,046.60
  6. Step 6: Final answer
    x = 11,343.63

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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.