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Finding the Fourth Proportional to 82,356, 113,651.82 and 44,630.52

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Solution

The fourth proportional to 82,356, 113,651.82 and 44,630.52 is: 61,590.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,356 : 113,651.82 = 44,630.52 : x
  2. Step 2: Convert to fraction form
    82,356/113,651.82 = 44,630.52/x
  3. Step 3: Cross multiply
    82,356x = 113,651.82 × 44,630.52
  4. Step 4: Simplify right side
    82,356x = 5,072,339,825.55
  5. Step 5: Solve for x
    x = 5,072,339,825.55/82,356
  6. Step 6: Final answer
    x = 61,590.41

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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.