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Finding the Fourth Proportional to 82,675.49, 114,112.85 and 50,825.94

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Solution

The fourth proportional to 82,675.49, 114,112.85 and 50,825.94 is: 70,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.49 : 114,112.85 = 50,825.94 : x
  2. Step 2: Convert to fraction form
    82,675.49/114,112.85 = 50,825.94/x
  3. Step 3: Cross multiply
    82,675.49x = 114,112.85 × 50,825.94
  4. Step 4: Simplify right side
    82,675.49x = 5,799,892,994.39
  5. Step 5: Solve for x
    x = 5,799,892,994.39/82,675.49
  6. Step 6: Final answer
    x = 70,152.51

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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.