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Finding the Fourth Proportional to 82,205.51, 113,432.22 and 45,902.52

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Solution

The fourth proportional to 82,205.51, 113,432.22 and 45,902.52 is: 63,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,205.51 : 113,432.22 = 45,902.52 : x
  2. Step 2: Convert to fraction form
    82,205.51/113,432.22 = 45,902.52/x
  3. Step 3: Cross multiply
    82,205.51x = 113,432.22 × 45,902.52
  4. Step 4: Simplify right side
    82,205.51x = 5,206,824,747.19
  5. Step 5: Solve for x
    x = 5,206,824,747.19/82,205.51
  6. Step 6: Final answer
    x = 63,339.12

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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.