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Finding the Fourth Proportional to 30,950.56, 46,406.64 and 10,168.48

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Solution

The fourth proportional to 30,950.56, 46,406.64 and 10,168.48 is: 15,246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.56 : 46,406.64 = 10,168.48 : x
  2. Step 2: Convert to fraction form
    30,950.56/46,406.64 = 10,168.48/x
  3. Step 3: Cross multiply
    30,950.56x = 46,406.64 × 10,168.48
  4. Step 4: Simplify right side
    30,950.56x = 471,884,990.71
  5. Step 5: Solve for x
    x = 471,884,990.71/30,950.56
  6. Step 6: Final answer
    x = 15,246.41

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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.