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Finding the Fourth Proportional to 30,907.86, 46,370.43 and 10,145.94

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Solution

The fourth proportional to 30,907.86, 46,370.43 and 10,145.94 is: 15,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.86 : 46,370.43 = 10,145.94 : x
  2. Step 2: Convert to fraction form
    30,907.86/46,370.43 = 10,145.94/x
  3. Step 3: Cross multiply
    30,907.86x = 46,370.43 × 10,145.94
  4. Step 4: Simplify right side
    30,907.86x = 470,471,600.55
  5. Step 5: Solve for x
    x = 470,471,600.55/30,907.86
  6. Step 6: Final answer
    x = 15,221.75

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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.