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Finding the Fourth Proportional to 82,353, 113,647.68 and 44,627.52

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Solution

The fourth proportional to 82,353, 113,647.68 and 44,627.52 is: 61,586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,353 : 113,647.68 = 44,627.52 : x
  2. Step 2: Convert to fraction form
    82,353/113,647.68 = 44,627.52/x
  3. Step 3: Cross multiply
    82,353x = 113,647.68 × 44,627.52
  4. Step 4: Simplify right side
    82,353x = 5,071,814,112.15
  5. Step 5: Solve for x
    x = 5,071,814,112.15/82,353
  6. Step 6: Final answer
    x = 61,586.27

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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.