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Finding the Fourth Proportional to 73,166.58, 100,969.08 and 42,946.56

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Solution

The fourth proportional to 73,166.58, 100,969.08 and 42,946.56 is: 59,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,166.58 : 100,969.08 = 42,946.56 : x
  2. Step 2: Convert to fraction form
    73,166.58/100,969.08 = 42,946.56/x
  3. Step 3: Cross multiply
    73,166.58x = 100,969.08 × 42,946.56
  4. Step 4: Simplify right side
    73,166.58x = 4,336,274,652.36
  5. Step 5: Solve for x
    x = 4,336,274,652.36/73,166.58
  6. Step 6: Final answer
    x = 59,265.78

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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.