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Finding the Fourth Proportional to 82,649.36, 114,057 and 44,923.61

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Solution

The fourth proportional to 82,649.36, 114,057 and 44,923.61 is: 61,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,649.36 : 114,057 = 44,923.61 : x
  2. Step 2: Convert to fraction form
    82,649.36/114,057 = 44,923.61/x
  3. Step 3: Cross multiply
    82,649.36x = 114,057 × 44,923.61
  4. Step 4: Simplify right side
    82,649.36x = 5,123,851,615.49
  5. Step 5: Solve for x
    x = 5,123,851,615.49/82,649.36
  6. Step 6: Final answer
    x = 61,995.06

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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.