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Finding the Fourth Proportional to 82,339.72, 113,599.74 and 50,497

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Solution

The fourth proportional to 82,339.72, 113,599.74 and 50,497 is: 69,668.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,339.72 : 113,599.74 = 50,497 : x
  2. Step 2: Convert to fraction form
    82,339.72/113,599.74 = 50,497/x
  3. Step 3: Cross multiply
    82,339.72x = 113,599.74 × 50,497
  4. Step 4: Simplify right side
    82,339.72x = 5,736,446,070.78
  5. Step 5: Solve for x
    x = 5,736,446,070.78/82,339.72
  6. Step 6: Final answer
    x = 69,668.03

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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.