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Finding the Fourth Proportional to 53,597.28, 73,964.16 and 29,724.16

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Solution

The fourth proportional to 53,597.28, 73,964.16 and 29,724.16 is: 41,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,597.28 : 73,964.16 = 29,724.16 : x
  2. Step 2: Convert to fraction form
    53,597.28/73,964.16 = 29,724.16/x
  3. Step 3: Cross multiply
    53,597.28x = 73,964.16 × 29,724.16
  4. Step 4: Simplify right side
    53,597.28x = 2,198,522,526.11
  5. Step 5: Solve for x
    x = 2,198,522,526.11/53,597.28
  6. Step 6: Final answer
    x = 41,019.29

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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.