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Finding the Fourth Proportional to 52,093, 78,143.37 and 20,928.34

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Solution

The fourth proportional to 52,093, 78,143.37 and 20,928.34 is: 31,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,093 : 78,143.37 = 20,928.34 : x
  2. Step 2: Convert to fraction form
    52,093/78,143.37 = 20,928.34/x
  3. Step 3: Cross multiply
    52,093x = 78,143.37 × 20,928.34
  4. Step 4: Simplify right side
    52,093x = 1,635,411,016.11
  5. Step 5: Solve for x
    x = 1,635,411,016.11/52,093
  6. Step 6: Final answer
    x = 31,394.06

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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.