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Finding the Fourth Proportional to 51,866.60, 77,799.42 and 16,330.44

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Solution

The fourth proportional to 51,866.60, 77,799.42 and 16,330.44 is: 24,495.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,866.60 : 77,799.42 = 16,330.44 : x
  2. Step 2: Convert to fraction form
    51,866.60/77,799.42 = 16,330.44/x
  3. Step 3: Cross multiply
    51,866.60x = 77,799.42 × 16,330.44
  4. Step 4: Simplify right side
    51,866.60x = 1,270,498,760.34
  5. Step 5: Solve for x
    x = 1,270,498,760.34/51,866.60
  6. Step 6: Final answer
    x = 24,495.51

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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.