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Finding the Fourth Proportional to 75,998.21, 114,009.57 and 23,407.68

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Solution

The fourth proportional to 75,998.21, 114,009.57 and 23,407.68 is: 35,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.21 : 114,009.57 = 23,407.68 : x
  2. Step 2: Convert to fraction form
    75,998.21/114,009.57 = 23,407.68/x
  3. Step 3: Cross multiply
    75,998.21x = 114,009.57 × 23,407.68
  4. Step 4: Simplify right side
    75,998.21x = 2,668,699,531.50
  5. Step 5: Solve for x
    x = 2,668,699,531.50/75,998.21
  6. Step 6: Final answer
    x = 35,115.29

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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.