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Finding the Fourth Proportional to 30,941.70, 42,700.04 and 16,794.54

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Solution

The fourth proportional to 30,941.70, 42,700.04 and 16,794.54 is: 23,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.70 : 42,700.04 = 16,794.54 : x
  2. Step 2: Convert to fraction form
    30,941.70/42,700.04 = 16,794.54/x
  3. Step 3: Cross multiply
    30,941.70x = 42,700.04 × 16,794.54
  4. Step 4: Simplify right side
    30,941.70x = 717,127,461.55
  5. Step 5: Solve for x
    x = 717,127,461.55/30,941.70
  6. Step 6: Final answer
    x = 23,176.73

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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.