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Finding the Fourth Proportional to 52,503.72, 72,455.22 and 30,994.44

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Solution

The fourth proportional to 52,503.72, 72,455.22 and 30,994.44 is: 42,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,503.72 : 72,455.22 = 30,994.44 : x
  2. Step 2: Convert to fraction form
    52,503.72/72,455.22 = 30,994.44/x
  3. Step 3: Cross multiply
    52,503.72x = 72,455.22 × 30,994.44
  4. Step 4: Simplify right side
    52,503.72x = 2,245,708,968.98
  5. Step 5: Solve for x
    x = 2,245,708,968.98/52,503.72
  6. Step 6: Final answer
    x = 42,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.