Home / 30,875.20-46,308.48-10,096

Finding the Fourth Proportional to 30,875.20, 46,308.48 and 10,096

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Solution

The fourth proportional to 30,875.20, 46,308.48 and 10,096 is: 15,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875.20 : 46,308.48 = 10,096 : x
  2. Step 2: Convert to fraction form
    30,875.20/46,308.48 = 10,096/x
  3. Step 3: Cross multiply
    30,875.20x = 46,308.48 × 10,096
  4. Step 4: Simplify right side
    30,875.20x = 467,530,414.08
  5. Step 5: Solve for x
    x = 467,530,414.08/30,875.20
  6. Step 6: Final answer
    x = 15,142.59

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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.