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Finding the Fourth Proportional to 52,175.55, 78,262.02 and 28,506.09

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Solution

The fourth proportional to 52,175.55, 78,262.02 and 28,506.09 is: 42,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,175.55 : 78,262.02 = 28,506.09 : x
  2. Step 2: Convert to fraction form
    52,175.55/78,262.02 = 28,506.09/x
  3. Step 3: Cross multiply
    52,175.55x = 78,262.02 × 28,506.09
  4. Step 4: Simplify right side
    52,175.55x = 2,230,944,185.70
  5. Step 5: Solve for x
    x = 2,230,944,185.70/52,175.55
  6. Step 6: Final answer
    x = 42,758.42

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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.