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Finding the Fourth Proportional to 30,930.45, 46,390.53 and 8,738.76

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Solution

The fourth proportional to 30,930.45, 46,390.53 and 8,738.76 is: 13,106.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.45 : 46,390.53 = 8,738.76 : x
  2. Step 2: Convert to fraction form
    30,930.45/46,390.53 = 8,738.76/x
  3. Step 3: Cross multiply
    30,930.45x = 46,390.53 × 8,738.76
  4. Step 4: Simplify right side
    30,930.45x = 405,395,707.94
  5. Step 5: Solve for x
    x = 405,395,707.94/30,930.45
  6. Step 6: Final answer
    x = 13,106.69

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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.