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Finding the Fourth Proportional to 47,838.96, 71,758.80 and 16,674.24

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Solution

The fourth proportional to 47,838.96, 71,758.80 and 16,674.24 is: 25,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,838.96 : 71,758.80 = 16,674.24 : x
  2. Step 2: Convert to fraction form
    47,838.96/71,758.80 = 16,674.24/x
  3. Step 3: Cross multiply
    47,838.96x = 71,758.80 × 16,674.24
  4. Step 4: Simplify right side
    47,838.96x = 1,196,523,453.31
  5. Step 5: Solve for x
    x = 1,196,523,453.31/47,838.96
  6. Step 6: Final answer
    x = 25,011.49

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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.