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Finding the Fourth Proportional to 82,932.48, 114,446.16 and 45,205.92

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Solution

The fourth proportional to 82,932.48, 114,446.16 and 45,205.92 is: 62,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,932.48 : 114,446.16 = 45,205.92 : x
  2. Step 2: Convert to fraction form
    82,932.48/114,446.16 = 45,205.92/x
  3. Step 3: Cross multiply
    82,932.48x = 114,446.16 × 45,205.92
  4. Step 4: Simplify right side
    82,932.48x = 5,173,643,953.27
  5. Step 5: Solve for x
    x = 5,173,643,953.27/82,932.48
  6. Step 6: Final answer
    x = 62,383.81

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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.