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Finding the Fourth Proportional to 30,941.30, 42,697.84 and 16,793.84

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Solution

The fourth proportional to 30,941.30, 42,697.84 and 16,793.84 is: 23,174.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.30 : 42,697.84 = 16,793.84 : x
  2. Step 2: Convert to fraction form
    30,941.30/42,697.84 = 16,793.84/x
  3. Step 3: Cross multiply
    30,941.30x = 42,697.84 × 16,793.84
  4. Step 4: Simplify right side
    30,941.30x = 717,060,693.31
  5. Step 5: Solve for x
    x = 717,060,693.31/30,941.30
  6. Step 6: Final answer
    x = 23,174.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.