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Finding the Fourth Proportional to 50,133, 75,230.73 and 45,461.49

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Solution

The fourth proportional to 50,133, 75,230.73 and 45,461.49 is: 68,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,133 : 75,230.73 = 45,461.49 : x
  2. Step 2: Convert to fraction form
    50,133/75,230.73 = 45,461.49/x
  3. Step 3: Cross multiply
    50,133x = 75,230.73 × 45,461.49
  4. Step 4: Simplify right side
    50,133x = 3,420,101,079.59
  5. Step 5: Solve for x
    x = 3,420,101,079.59/50,133
  6. Step 6: Final answer
    x = 68,220.55

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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.