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Finding the Fourth Proportional to 52,641.77, 78,956.85 and 13,198.89

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Solution

The fourth proportional to 52,641.77, 78,956.85 and 13,198.89 is: 19,796.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,641.77 : 78,956.85 = 13,198.89 : x
  2. Step 2: Convert to fraction form
    52,641.77/78,956.85 = 13,198.89/x
  3. Step 3: Cross multiply
    52,641.77x = 78,956.85 × 13,198.89
  4. Step 4: Simplify right side
    52,641.77x = 1,042,142,531.19
  5. Step 5: Solve for x
    x = 1,042,142,531.19/52,641.77
  6. Step 6: Final answer
    x = 19,796.87

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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.