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Finding the Fourth Proportional to 51,775.92, 77,678.46 and 16,715.88

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Solution

The fourth proportional to 51,775.92, 77,678.46 and 16,715.88 is: 25,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,775.92 : 77,678.46 = 16,715.88 : x
  2. Step 2: Convert to fraction form
    51,775.92/77,678.46 = 16,715.88/x
  3. Step 3: Cross multiply
    51,775.92x = 77,678.46 × 16,715.88
  4. Step 4: Simplify right side
    51,775.92x = 1,298,463,815.94
  5. Step 5: Solve for x
    x = 1,298,463,815.94/51,775.92
  6. Step 6: Final answer
    x = 25,078.53

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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.