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Finding the Fourth Proportional to 82,728.84, 114,165.90 and 45,003

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Solution

The fourth proportional to 82,728.84, 114,165.90 and 45,003 is: 62,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,728.84 : 114,165.90 = 45,003 : x
  2. Step 2: Convert to fraction form
    82,728.84/114,165.90 = 45,003/x
  3. Step 3: Cross multiply
    82,728.84x = 114,165.90 × 45,003
  4. Step 4: Simplify right side
    82,728.84x = 5,137,807,997.70
  5. Step 5: Solve for x
    x = 5,137,807,997.70/82,728.84
  6. Step 6: Final answer
    x = 62,104.19

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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.