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Finding the Fourth Proportional to 45,884.68, 68,827.12 and 16,302.47

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Solution

The fourth proportional to 45,884.68, 68,827.12 and 16,302.47 is: 24,453.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,884.68 : 68,827.12 = 16,302.47 : x
  2. Step 2: Convert to fraction form
    45,884.68/68,827.12 = 16,302.47/x
  3. Step 3: Cross multiply
    45,884.68x = 68,827.12 × 16,302.47
  4. Step 4: Simplify right side
    45,884.68x = 1,122,051,674.09
  5. Step 5: Solve for x
    x = 1,122,051,674.09/45,884.68
  6. Step 6: Final answer
    x = 24,453.73

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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.