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Finding the Fourth Proportional to 30,892.40, 46,340.56 and 10,899.40

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Solution

The fourth proportional to 30,892.40, 46,340.56 and 10,899.40 is: 16,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,892.40 : 46,340.56 = 10,899.40 : x
  2. Step 2: Convert to fraction form
    30,892.40/46,340.56 = 10,899.40/x
  3. Step 3: Cross multiply
    30,892.40x = 46,340.56 × 10,899.40
  4. Step 4: Simplify right side
    30,892.40x = 505,084,299.66
  5. Step 5: Solve for x
    x = 505,084,299.66/30,892.40
  6. Step 6: Final answer
    x = 16,349.79

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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.