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Finding the Fourth Proportional to 50,509.17, 75,764.84 and 15,448.86

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Solution

The fourth proportional to 50,509.17, 75,764.84 and 15,448.86 is: 23,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.17 : 75,764.84 = 15,448.86 : x
  2. Step 2: Convert to fraction form
    50,509.17/75,764.84 = 15,448.86/x
  3. Step 3: Cross multiply
    50,509.17x = 75,764.84 × 15,448.86
  4. Step 4: Simplify right side
    50,509.17x = 1,170,480,328.84
  5. Step 5: Solve for x
    x = 1,170,480,328.84/50,509.17
  6. Step 6: Final answer
    x = 23,173.62

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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.