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Finding the Fourth Proportional to 73,144.64, 100,946.76 and 44,461.80

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Solution

The fourth proportional to 73,144.64, 100,946.76 and 44,461.80 is: 61,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,144.64 : 100,946.76 = 44,461.80 : x
  2. Step 2: Convert to fraction form
    73,144.64/100,946.76 = 44,461.80/x
  3. Step 3: Cross multiply
    73,144.64x = 100,946.76 × 44,461.80
  4. Step 4: Simplify right side
    73,144.64x = 4,488,274,653.77
  5. Step 5: Solve for x
    x = 4,488,274,653.77/73,144.64
  6. Step 6: Final answer
    x = 61,361.63

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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.