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Finding the Fourth Proportional to 101,005.68, 151,536 and 30,883.44

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Solution

The fourth proportional to 101,005.68, 151,536 and 30,883.44 is: 46,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,005.68 : 151,536 = 30,883.44 : x
  2. Step 2: Convert to fraction form
    101,005.68/151,536 = 30,883.44/x
  3. Step 3: Cross multiply
    101,005.68x = 151,536 × 30,883.44
  4. Step 4: Simplify right side
    101,005.68x = 4,679,952,963.84
  5. Step 5: Solve for x
    x = 4,679,952,963.84/101,005.68
  6. Step 6: Final answer
    x = 46,333.56

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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.