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Finding the Fourth Proportional to 82,787.11, 114,243.03 and 46,974.98

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Solution

The fourth proportional to 82,787.11, 114,243.03 and 46,974.98 is: 64,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,787.11 : 114,243.03 = 46,974.98 : x
  2. Step 2: Convert to fraction form
    82,787.11/114,243.03 = 46,974.98/x
  3. Step 3: Cross multiply
    82,787.11x = 114,243.03 × 46,974.98
  4. Step 4: Simplify right side
    82,787.11x = 5,366,564,049.39
  5. Step 5: Solve for x
    x = 5,366,564,049.39/82,787.11
  6. Step 6: Final answer
    x = 64,823.67

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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.