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Finding the Fourth Proportional to 57,767.63, 86,666.04 and 16,214.63

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Solution

The fourth proportional to 57,767.63, 86,666.04 and 16,214.63 is: 24,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,767.63 : 86,666.04 = 16,214.63 : x
  2. Step 2: Convert to fraction form
    57,767.63/86,666.04 = 16,214.63/x
  3. Step 3: Cross multiply
    57,767.63x = 86,666.04 × 16,214.63
  4. Step 4: Simplify right side
    57,767.63x = 1,405,257,338.84
  5. Step 5: Solve for x
    x = 1,405,257,338.84/57,767.63
  6. Step 6: Final answer
    x = 24,326.04

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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.