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Finding the Fourth Proportional to 82,469.56, 113,807.28 and 46,659.28

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Solution

The fourth proportional to 82,469.56, 113,807.28 and 46,659.28 is: 64,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,469.56 : 113,807.28 = 46,659.28 : x
  2. Step 2: Convert to fraction form
    82,469.56/113,807.28 = 46,659.28/x
  3. Step 3: Cross multiply
    82,469.56x = 113,807.28 × 46,659.28
  4. Step 4: Simplify right side
    82,469.56x = 5,310,165,743.56
  5. Step 5: Solve for x
    x = 5,310,165,743.56/82,469.56
  6. Step 6: Final answer
    x = 64,389.40

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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.