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Finding the Fourth Proportional to 52,005, 78,020.46 and 15,069

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Solution

The fourth proportional to 52,005, 78,020.46 and 15,069 is: 22,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 78,020.46 = 15,069 : x
  2. Step 2: Convert to fraction form
    52,005/78,020.46 = 15,069/x
  3. Step 3: Cross multiply
    52,005x = 78,020.46 × 15,069
  4. Step 4: Simplify right side
    52,005x = 1,175,690,311.74
  5. Step 5: Solve for x
    x = 1,175,690,311.74/52,005
  6. Step 6: Final answer
    x = 22,607.26

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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.