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Finding the Fourth Proportional to 100,886.30, 151,329.05 and 30,765.41

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Solution

The fourth proportional to 100,886.30, 151,329.05 and 30,765.41 is: 46,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886.30 : 151,329.05 = 30,765.41 : x
  2. Step 2: Convert to fraction form
    100,886.30/151,329.05 = 30,765.41/x
  3. Step 3: Cross multiply
    100,886.30x = 151,329.05 × 30,765.41
  4. Step 4: Simplify right side
    100,886.30x = 4,655,700,114.33
  5. Step 5: Solve for x
    x = 4,655,700,114.33/100,886.30
  6. Step 6: Final answer
    x = 46,147.99

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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.