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Finding the Fourth Proportional to 76,448.41, 114,672.51 and 50,146.90

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Solution

The fourth proportional to 76,448.41, 114,672.51 and 50,146.90 is: 75,220.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448.41 : 114,672.51 = 50,146.90 : x
  2. Step 2: Convert to fraction form
    76,448.41/114,672.51 = 50,146.90/x
  3. Step 3: Cross multiply
    76,448.41x = 114,672.51 × 50,146.90
  4. Step 4: Simplify right side
    76,448.41x = 5,750,470,605.04
  5. Step 5: Solve for x
    x = 5,750,470,605.04/76,448.41
  6. Step 6: Final answer
    x = 75,220.28

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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.