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Finding the Fourth Proportional to 82,440, 113,767.21 and 46,629.24

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Solution

The fourth proportional to 82,440, 113,767.21 and 46,629.24 is: 64,348.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,440 : 113,767.21 = 46,629.24 : x
  2. Step 2: Convert to fraction form
    82,440/113,767.21 = 46,629.24/x
  3. Step 3: Cross multiply
    82,440x = 113,767.21 × 46,629.24
  4. Step 4: Simplify right side
    82,440x = 5,304,878,422.65
  5. Step 5: Solve for x
    x = 5,304,878,422.65/82,440
  6. Step 6: Final answer
    x = 64,348.36

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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.