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Finding the Fourth Proportional to 82,009.90, 113,173.14 and 46,211.44

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Solution

The fourth proportional to 82,009.90, 113,173.14 and 46,211.44 is: 63,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,009.90 : 113,173.14 = 46,211.44 : x
  2. Step 2: Convert to fraction form
    82,009.90/113,173.14 = 46,211.44/x
  3. Step 3: Cross multiply
    82,009.90x = 113,173.14 × 46,211.44
  4. Step 4: Simplify right side
    82,009.90x = 5,229,893,202.86
  5. Step 5: Solve for x
    x = 5,229,893,202.86/82,009.90
  6. Step 6: Final answer
    x = 63,771.49

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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.