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Finding the Fourth Proportional to 100,461, 150,687.86 and 30,338.52

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Solution

The fourth proportional to 100,461, 150,687.86 and 30,338.52 is: 45,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461 : 150,687.86 = 30,338.52 : x
  2. Step 2: Convert to fraction form
    100,461/150,687.86 = 30,338.52/x
  3. Step 3: Cross multiply
    100,461x = 150,687.86 × 30,338.52
  4. Step 4: Simplify right side
    100,461x = 4,571,646,654.37
  5. Step 5: Solve for x
    x = 4,571,646,654.37/100,461
  6. Step 6: Final answer
    x = 45,506.68

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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.