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Finding the Fourth Proportional to 82,453, 113,785.17 and 46,642.24

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Solution

The fourth proportional to 82,453, 113,785.17 and 46,642.24 is: 64,366.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,453 : 113,785.17 = 46,642.24 : x
  2. Step 2: Convert to fraction form
    82,453/113,785.17 = 46,642.24/x
  3. Step 3: Cross multiply
    82,453x = 113,785.17 × 46,642.24
  4. Step 4: Simplify right side
    82,453x = 5,307,195,207.58
  5. Step 5: Solve for x
    x = 5,307,195,207.58/82,453
  6. Step 6: Final answer
    x = 64,366.31

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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.