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Finding the Fourth Proportional to 42,942.88, 64,401.36 and 25,408

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Solution

The fourth proportional to 42,942.88, 64,401.36 and 25,408 is: 38,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,942.88 : 64,401.36 = 25,408 : x
  2. Step 2: Convert to fraction form
    42,942.88/64,401.36 = 25,408/x
  3. Step 3: Cross multiply
    42,942.88x = 64,401.36 × 25,408
  4. Step 4: Simplify right side
    42,942.88x = 1,636,309,754.88
  5. Step 5: Solve for x
    x = 1,636,309,754.88/42,942.88
  6. Step 6: Final answer
    x = 38,104.33

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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.