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Finding the Fourth Proportional to 82,733, 114,190.98 and 49,218.44

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Solution

The fourth proportional to 82,733, 114,190.98 and 49,218.44 is: 67,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,733 : 114,190.98 = 49,218.44 : x
  2. Step 2: Convert to fraction form
    82,733/114,190.98 = 49,218.44/x
  3. Step 3: Cross multiply
    82,733x = 114,190.98 × 49,218.44
  4. Step 4: Simplify right side
    82,733x = 5,620,301,897.67
  5. Step 5: Solve for x
    x = 5,620,301,897.67/82,733
  6. Step 6: Final answer
    x = 67,933.01

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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.