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Finding the Fourth Proportional to 74,630.76, 102,994.26 and 42,367.64

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Solution

The fourth proportional to 74,630.76, 102,994.26 and 42,367.64 is: 58,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,630.76 : 102,994.26 = 42,367.64 : x
  2. Step 2: Convert to fraction form
    74,630.76/102,994.26 = 42,367.64/x
  3. Step 3: Cross multiply
    74,630.76x = 102,994.26 × 42,367.64
  4. Step 4: Simplify right side
    74,630.76x = 4,363,623,729.75
  5. Step 5: Solve for x
    x = 4,363,623,729.75/74,630.76
  6. Step 6: Final answer
    x = 58,469.51

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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.