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Finding the Fourth Proportional to 101,803.68, 152,725.43 and 30,732.12

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Solution

The fourth proportional to 101,803.68, 152,725.43 and 30,732.12 is: 46,104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,803.68 : 152,725.43 = 30,732.12 : x
  2. Step 2: Convert to fraction form
    101,803.68/152,725.43 = 30,732.12/x
  3. Step 3: Cross multiply
    101,803.68x = 152,725.43 × 30,732.12
  4. Step 4: Simplify right side
    101,803.68x = 4,693,576,318.64
  5. Step 5: Solve for x
    x = 4,693,576,318.64/101,803.68
  6. Step 6: Final answer
    x = 46,104.19

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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.