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Finding the Fourth Proportional to 75,628.96, 113,431.25 and 23,026.14

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Solution

The fourth proportional to 75,628.96, 113,431.25 and 23,026.14 is: 34,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,628.96 : 113,431.25 = 23,026.14 : x
  2. Step 2: Convert to fraction form
    75,628.96/113,431.25 = 23,026.14/x
  3. Step 3: Cross multiply
    75,628.96x = 113,431.25 × 23,026.14
  4. Step 4: Simplify right side
    75,628.96x = 2,611,883,900.44
  5. Step 5: Solve for x
    x = 2,611,883,900.44/75,628.96
  6. Step 6: Final answer
    x = 34,535.50

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Why These Related Problems?

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