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Finding the Fourth Proportional to 30,793.96, 46,209.17 and 13,023.62

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Solution

The fourth proportional to 30,793.96, 46,209.17 and 13,023.62 is: 19,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.96 : 46,209.17 = 13,023.62 : x
  2. Step 2: Convert to fraction form
    30,793.96/46,209.17 = 13,023.62/x
  3. Step 3: Cross multiply
    30,793.96x = 46,209.17 × 13,023.62
  4. Step 4: Simplify right side
    30,793.96x = 601,810,670.60
  5. Step 5: Solve for x
    x = 601,810,670.60/30,793.96
  6. Step 6: Final answer
    x = 19,543.14

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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.