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Finding the Fourth Proportional to 50,465.40, 75,707.28 and 20,867.16

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Solution

The fourth proportional to 50,465.40, 75,707.28 and 20,867.16 is: 31,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,465.40 : 75,707.28 = 20,867.16 : x
  2. Step 2: Convert to fraction form
    50,465.40/75,707.28 = 20,867.16/x
  3. Step 3: Cross multiply
    50,465.40x = 75,707.28 × 20,867.16
  4. Step 4: Simplify right side
    50,465.40x = 1,579,795,924.92
  5. Step 5: Solve for x
    x = 1,579,795,924.92/50,465.40
  6. Step 6: Final answer
    x = 31,304.54

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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.