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Finding the Fourth Proportional to 47,777.61, 71,616.99 and 16,177.23

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Solution

The fourth proportional to 47,777.61, 71,616.99 and 16,177.23 is: 24,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.61 : 71,616.99 = 16,177.23 : x
  2. Step 2: Convert to fraction form
    47,777.61/71,616.99 = 16,177.23/x
  3. Step 3: Cross multiply
    47,777.61x = 71,616.99 × 16,177.23
  4. Step 4: Simplify right side
    47,777.61x = 1,158,564,519.14
  5. Step 5: Solve for x
    x = 1,158,564,519.14/47,777.61
  6. Step 6: Final answer
    x = 24,249.11

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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.