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Finding the Fourth Proportional to 50,509.32, 75,764.16 and 15,448.92

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Solution

The fourth proportional to 50,509.32, 75,764.16 and 15,448.92 is: 23,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.32 : 75,764.16 = 15,448.92 : x
  2. Step 2: Convert to fraction form
    50,509.32/75,764.16 = 15,448.92/x
  3. Step 3: Cross multiply
    50,509.32x = 75,764.16 × 15,448.92
  4. Step 4: Simplify right side
    50,509.32x = 1,170,474,446.71
  5. Step 5: Solve for x
    x = 1,170,474,446.71/50,509.32
  6. Step 6: Final answer
    x = 23,173.44

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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.