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Finding the Fourth Proportional to 30,971.73, 46,446.29 and 13,204.22

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Solution

The fourth proportional to 30,971.73, 46,446.29 and 13,204.22 is: 19,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.73 : 46,446.29 = 13,204.22 : x
  2. Step 2: Convert to fraction form
    30,971.73/46,446.29 = 13,204.22/x
  3. Step 3: Cross multiply
    30,971.73x = 46,446.29 × 13,204.22
  4. Step 4: Simplify right side
    30,971.73x = 613,286,856.88
  5. Step 5: Solve for x
    x = 613,286,856.88/30,971.73
  6. Step 6: Final answer
    x = 19,801.50

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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.