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Finding the Fourth Proportional to 82,727.84, 114,164.52 and 45,002

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Solution

The fourth proportional to 82,727.84, 114,164.52 and 45,002 is: 62,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,727.84 : 114,164.52 = 45,002 : x
  2. Step 2: Convert to fraction form
    82,727.84/114,164.52 = 45,002/x
  3. Step 3: Cross multiply
    82,727.84x = 114,164.52 × 45,002
  4. Step 4: Simplify right side
    82,727.84x = 5,137,631,729.04
  5. Step 5: Solve for x
    x = 5,137,631,729.04/82,727.84
  6. Step 6: Final answer
    x = 62,102.81

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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.