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Finding the Fourth Proportional to 82,772.80, 114,226.82 and 45,047

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Solution

The fourth proportional to 82,772.80, 114,226.82 and 45,047 is: 62,165.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.80 : 114,226.82 = 45,047 : x
  2. Step 2: Convert to fraction form
    82,772.80/114,226.82 = 45,047/x
  3. Step 3: Cross multiply
    82,772.80x = 114,226.82 × 45,047
  4. Step 4: Simplify right side
    82,772.80x = 5,145,575,560.54
  5. Step 5: Solve for x
    x = 5,145,575,560.54/82,772.80
  6. Step 6: Final answer
    x = 62,165.05

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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.