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Finding the Fourth Proportional to 82,257.36, 113,514.93 and 46,446.66

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Solution

The fourth proportional to 82,257.36, 113,514.93 and 46,446.66 is: 64,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,257.36 : 113,514.93 = 46,446.66 : x
  2. Step 2: Convert to fraction form
    82,257.36/113,514.93 = 46,446.66/x
  3. Step 3: Cross multiply
    82,257.36x = 113,514.93 × 46,446.66
  4. Step 4: Simplify right side
    82,257.36x = 5,272,389,358.63
  5. Step 5: Solve for x
    x = 5,272,389,358.63/82,257.36
  6. Step 6: Final answer
    x = 64,096.26

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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.