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Finding the Fourth Proportional to 30,257.78, 41,756.46 and 16,829.60

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Solution

The fourth proportional to 30,257.78, 41,756.46 and 16,829.60 is: 23,225.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.78 : 41,756.46 = 16,829.60 : x
  2. Step 2: Convert to fraction form
    30,257.78/41,756.46 = 16,829.60/x
  3. Step 3: Cross multiply
    30,257.78x = 41,756.46 × 16,829.60
  4. Step 4: Simplify right side
    30,257.78x = 702,744,519.22
  5. Step 5: Solve for x
    x = 702,744,519.22/30,257.78
  6. Step 6: Final answer
    x = 23,225.25

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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.