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Finding the Fourth Proportional to 75,100.09, 103,638.39 and 41,566.09

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Solution

The fourth proportional to 75,100.09, 103,638.39 and 41,566.09 is: 57,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100.09 : 103,638.39 = 41,566.09 : x
  2. Step 2: Convert to fraction form
    75,100.09/103,638.39 = 41,566.09/x
  3. Step 3: Cross multiply
    75,100.09x = 103,638.39 × 41,566.09
  4. Step 4: Simplify right side
    75,100.09x = 4,307,842,646.20
  5. Step 5: Solve for x
    x = 4,307,842,646.20/75,100.09
  6. Step 6: Final answer
    x = 57,361.35

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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.