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Finding the Fourth Proportional to 52,798.98, 79,198.80 and 12,817.86

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Solution

The fourth proportional to 52,798.98, 79,198.80 and 12,817.86 is: 19,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,798.98 : 79,198.80 = 12,817.86 : x
  2. Step 2: Convert to fraction form
    52,798.98/79,198.80 = 12,817.86/x
  3. Step 3: Cross multiply
    52,798.98x = 79,198.80 × 12,817.86
  4. Step 4: Simplify right side
    52,798.98x = 1,015,159,130.57
  5. Step 5: Solve for x
    x = 1,015,159,130.57/52,798.98
  6. Step 6: Final answer
    x = 19,226.87

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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.