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Finding the Fourth Proportional to 30,911.63, 42,658.04 and 16,764.57

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Solution

The fourth proportional to 30,911.63, 42,658.04 and 16,764.57 is: 23,135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.63 : 42,658.04 = 16,764.57 : x
  2. Step 2: Convert to fraction form
    30,911.63/42,658.04 = 16,764.57/x
  3. Step 3: Cross multiply
    30,911.63x = 42,658.04 × 16,764.57
  4. Step 4: Simplify right side
    30,911.63x = 715,143,739.55
  5. Step 5: Solve for x
    x = 715,143,739.55/30,911.63
  6. Step 6: Final answer
    x = 23,135.11

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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.