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Finding the Fourth Proportional to 75,942.60, 104,702.48 and 52,026.54

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Solution

The fourth proportional to 75,942.60, 104,702.48 and 52,026.54 is: 71,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,942.60 : 104,702.48 = 52,026.54 : x
  2. Step 2: Convert to fraction form
    75,942.60/104,702.48 = 52,026.54/x
  3. Step 3: Cross multiply
    75,942.60x = 104,702.48 × 52,026.54
  4. Step 4: Simplify right side
    75,942.60x = 5,447,307,763.82
  5. Step 5: Solve for x
    x = 5,447,307,763.82/75,942.60
  6. Step 6: Final answer
    x = 71,729.28

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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.