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Finding the Fourth Proportional to 82,813.56, 114,284.70 and 47,007.96

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Solution

The fourth proportional to 82,813.56, 114,284.70 and 47,007.96 is: 64,872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,813.56 : 114,284.70 = 47,007.96 : x
  2. Step 2: Convert to fraction form
    82,813.56/114,284.70 = 47,007.96/x
  3. Step 3: Cross multiply
    82,813.56x = 114,284.70 × 47,007.96
  4. Step 4: Simplify right side
    82,813.56x = 5,372,290,606.21
  5. Step 5: Solve for x
    x = 5,372,290,606.21/82,813.56
  6. Step 6: Final answer
    x = 64,872.11

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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.