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Finding the Fourth Proportional to 70,447.32, 105,651 and 30,996

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Solution

The fourth proportional to 70,447.32, 105,651 and 30,996 is: 46,485.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,447.32 : 105,651 = 30,996 : x
  2. Step 2: Convert to fraction form
    70,447.32/105,651 = 30,996/x
  3. Step 3: Cross multiply
    70,447.32x = 105,651 × 30,996
  4. Step 4: Simplify right side
    70,447.32x = 3,274,758,396
  5. Step 5: Solve for x
    x = 3,274,758,396/70,447.32
  6. Step 6: Final answer
    x = 46,485.21

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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.