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Finding the Fourth Proportional to 82,032.75, 113,205.27 and 44,307

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Solution

The fourth proportional to 82,032.75, 113,205.27 and 44,307 is: 61,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,032.75 : 113,205.27 = 44,307 : x
  2. Step 2: Convert to fraction form
    82,032.75/113,205.27 = 44,307/x
  3. Step 3: Cross multiply
    82,032.75x = 113,205.27 × 44,307
  4. Step 4: Simplify right side
    82,032.75x = 5,015,785,939.43
  5. Step 5: Solve for x
    x = 5,015,785,939.43/82,032.75
  6. Step 6: Final answer
    x = 61,143.70

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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.