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Finding the Fourth Proportional to 82,412.41, 113,714.31 and 46,114.59

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Solution

The fourth proportional to 82,412.41, 113,714.31 and 46,114.59 is: 63,629.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,412.41 : 113,714.31 = 46,114.59 : x
  2. Step 2: Convert to fraction form
    82,412.41/113,714.31 = 46,114.59/x
  3. Step 3: Cross multiply
    82,412.41x = 113,714.31 × 46,114.59
  4. Step 4: Simplify right side
    82,412.41x = 5,243,888,782.78
  5. Step 5: Solve for x
    x = 5,243,888,782.78/82,412.41
  6. Step 6: Final answer
    x = 63,629.84

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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.