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Finding the Fourth Proportional to 50,446.16, 69,605.14 and 29,224.16

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Solution

The fourth proportional to 50,446.16, 69,605.14 and 29,224.16 is: 40,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446.16 : 69,605.14 = 29,224.16 : x
  2. Step 2: Convert to fraction form
    50,446.16/69,605.14 = 29,224.16/x
  3. Step 3: Cross multiply
    50,446.16x = 69,605.14 × 29,224.16
  4. Step 4: Simplify right side
    50,446.16x = 2,034,151,748.18
  5. Step 5: Solve for x
    x = 2,034,151,748.18/50,446.16
  6. Step 6: Final answer
    x = 40,323.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.