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Finding the Fourth Proportional to 82,629.28, 114,021.92 and 46,824.90

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Solution

The fourth proportional to 82,629.28, 114,021.92 and 46,824.90 is: 64,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,629.28 : 114,021.92 = 46,824.90 : x
  2. Step 2: Convert to fraction form
    82,629.28/114,021.92 = 46,824.90/x
  3. Step 3: Cross multiply
    82,629.28x = 114,021.92 × 46,824.90
  4. Step 4: Simplify right side
    82,629.28x = 5,339,065,001.81
  5. Step 5: Solve for x
    x = 5,339,065,001.81/82,629.28
  6. Step 6: Final answer
    x = 64,614.69

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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.