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Finding the Fourth Proportional to 51,599.68, 77,410.45 and 16,563.94

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Solution

The fourth proportional to 51,599.68, 77,410.45 and 16,563.94 is: 24,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599.68 : 77,410.45 = 16,563.94 : x
  2. Step 2: Convert to fraction form
    51,599.68/77,410.45 = 16,563.94/x
  3. Step 3: Cross multiply
    51,599.68x = 77,410.45 × 16,563.94
  4. Step 4: Simplify right side
    51,599.68x = 1,282,221,814.24
  5. Step 5: Solve for x
    x = 1,282,221,814.24/51,599.68
  6. Step 6: Final answer
    x = 24,849.42

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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.