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Finding the Fourth Proportional to 30,005.98, 45,011.57 and 7,819.37

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Solution

The fourth proportional to 30,005.98, 45,011.57 and 7,819.37 is: 11,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.98 : 45,011.57 = 7,819.37 : x
  2. Step 2: Convert to fraction form
    30,005.98/45,011.57 = 7,819.37/x
  3. Step 3: Cross multiply
    30,005.98x = 45,011.57 × 7,819.37
  4. Step 4: Simplify right side
    30,005.98x = 351,962,024.75
  5. Step 5: Solve for x
    x = 351,962,024.75/30,005.98
  6. Step 6: Final answer
    x = 11,729.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.