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Finding the Fourth Proportional to 51,803.28, 77,678.14 and 16,738.36

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Solution

The fourth proportional to 51,803.28, 77,678.14 and 16,738.36 is: 25,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803.28 : 77,678.14 = 16,738.36 : x
  2. Step 2: Convert to fraction form
    51,803.28/77,678.14 = 16,738.36/x
  3. Step 3: Cross multiply
    51,803.28x = 77,678.14 × 16,738.36
  4. Step 4: Simplify right side
    51,803.28x = 1,300,204,671.45
  5. Step 5: Solve for x
    x = 1,300,204,671.45/51,803.28
  6. Step 6: Final answer
    x = 25,098.89

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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.