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Finding the Fourth Proportional to 82,553.65, 113,921.84 and 46,747.06

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Solution

The fourth proportional to 82,553.65, 113,921.84 and 46,747.06 is: 64,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,553.65 : 113,921.84 = 46,747.06 : x
  2. Step 2: Convert to fraction form
    82,553.65/113,921.84 = 46,747.06/x
  3. Step 3: Cross multiply
    82,553.65x = 113,921.84 × 46,747.06
  4. Step 4: Simplify right side
    82,553.65x = 5,325,510,286.45
  5. Step 5: Solve for x
    x = 5,325,510,286.45/82,553.65
  6. Step 6: Final answer
    x = 64,509.69

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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.