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Finding the Fourth Proportional to 38,596.04, 57,921.74 and 16,425

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Solution

The fourth proportional to 38,596.04, 57,921.74 and 16,425 is: 24,649.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,596.04 : 57,921.74 = 16,425 : x
  2. Step 2: Convert to fraction form
    38,596.04/57,921.74 = 16,425/x
  3. Step 3: Cross multiply
    38,596.04x = 57,921.74 × 16,425
  4. Step 4: Simplify right side
    38,596.04x = 951,364,579.50
  5. Step 5: Solve for x
    x = 951,364,579.50/38,596.04
  6. Step 6: Final answer
    x = 24,649.28

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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.