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Finding the Fourth Proportional to 45,962.82, 68,950.71 and 16,374.33

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Solution

The fourth proportional to 45,962.82, 68,950.71 and 16,374.33 is: 24,563.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,962.82 : 68,950.71 = 16,374.33 : x
  2. Step 2: Convert to fraction form
    45,962.82/68,950.71 = 16,374.33/x
  3. Step 3: Cross multiply
    45,962.82x = 68,950.71 × 16,374.33
  4. Step 4: Simplify right side
    45,962.82x = 1,129,021,679.27
  5. Step 5: Solve for x
    x = 1,129,021,679.27/45,962.82
  6. Step 6: Final answer
    x = 24,563.80

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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.