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Finding the Fourth Proportional to 47,662.96, 71,514.06 and 16,520.08

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Solution

The fourth proportional to 47,662.96, 71,514.06 and 16,520.08 is: 24,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.96 : 71,514.06 = 16,520.08 : x
  2. Step 2: Convert to fraction form
    47,662.96/71,514.06 = 16,520.08/x
  3. Step 3: Cross multiply
    47,662.96x = 71,514.06 × 16,520.08
  4. Step 4: Simplify right side
    47,662.96x = 1,181,417,992.32
  5. Step 5: Solve for x
    x = 1,181,417,992.32/47,662.96
  6. Step 6: Final answer
    x = 24,786.92

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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.