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Finding the Fourth Proportional to 52,048.62, 78,048.54 and 18,764.28

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Solution

The fourth proportional to 52,048.62, 78,048.54 and 18,764.28 is: 28,137.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.62 : 78,048.54 = 18,764.28 : x
  2. Step 2: Convert to fraction form
    52,048.62/78,048.54 = 18,764.28/x
  3. Step 3: Cross multiply
    52,048.62x = 78,048.54 × 18,764.28
  4. Step 4: Simplify right side
    52,048.62x = 1,464,524,658.15
  5. Step 5: Solve for x
    x = 1,464,524,658.15/52,048.62
  6. Step 6: Final answer
    x = 28,137.63

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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.