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Finding the Fourth Proportional to 47,703.54, 71,557.25 and 12,165.78

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Solution

The fourth proportional to 47,703.54, 71,557.25 and 12,165.78 is: 18,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,703.54 : 71,557.25 = 12,165.78 : x
  2. Step 2: Convert to fraction form
    47,703.54/71,557.25 = 12,165.78/x
  3. Step 3: Cross multiply
    47,703.54x = 71,557.25 × 12,165.78
  4. Step 4: Simplify right side
    47,703.54x = 870,549,760.91
  5. Step 5: Solve for x
    x = 870,549,760.91/47,703.54
  6. Step 6: Final answer
    x = 18,249.16

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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.