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Finding the Fourth Proportional to 82,307.41, 113,580.45 and 51,696.31

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Solution

The fourth proportional to 82,307.41, 113,580.45 and 51,696.31 is: 71,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,307.41 : 113,580.45 = 51,696.31 : x
  2. Step 2: Convert to fraction form
    82,307.41/113,580.45 = 51,696.31/x
  3. Step 3: Cross multiply
    82,307.41x = 113,580.45 × 51,696.31
  4. Step 4: Simplify right side
    82,307.41x = 5,871,690,153.14
  5. Step 5: Solve for x
    x = 5,871,690,153.14/82,307.41
  6. Step 6: Final answer
    x = 71,338.54

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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.