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Finding the Fourth Proportional to 50,304.24, 69,439.68 and 32,400

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Solution

The fourth proportional to 50,304.24, 69,439.68 and 32,400 is: 44,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,304.24 : 69,439.68 = 32,400 : x
  2. Step 2: Convert to fraction form
    50,304.24/69,439.68 = 32,400/x
  3. Step 3: Cross multiply
    50,304.24x = 69,439.68 × 32,400
  4. Step 4: Simplify right side
    50,304.24x = 2,249,845,632
  5. Step 5: Solve for x
    x = 2,249,845,632/50,304.24
  6. Step 6: Final answer
    x = 44,724.77

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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.