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Finding the Fourth Proportional to 30,896.30, 46,344.45 and 15,344.30

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Solution

The fourth proportional to 30,896.30, 46,344.45 and 15,344.30 is: 23,016.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.30 : 46,344.45 = 15,344.30 : x
  2. Step 2: Convert to fraction form
    30,896.30/46,344.45 = 15,344.30/x
  3. Step 3: Cross multiply
    30,896.30x = 46,344.45 × 15,344.30
  4. Step 4: Simplify right side
    30,896.30x = 711,123,144.14
  5. Step 5: Solve for x
    x = 711,123,144.14/30,896.30
  6. Step 6: Final answer
    x = 23,016.45

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1.5x scale

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.