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Finding the Fourth Proportional to 82,114.60, 123,117.21 and 29,517.25

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Solution

The fourth proportional to 82,114.60, 123,117.21 and 29,517.25 is: 44,256.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.60 : 123,117.21 = 29,517.25 : x
  2. Step 2: Convert to fraction form
    82,114.60/123,117.21 = 29,517.25/x
  3. Step 3: Cross multiply
    82,114.60x = 123,117.21 × 29,517.25
  4. Step 4: Simplify right side
    82,114.60x = 3,634,081,466.87
  5. Step 5: Solve for x
    x = 3,634,081,466.87/82,114.60
  6. Step 6: Final answer
    x = 44,256.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.