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Finding the Fourth Proportional to 29,059.68, 40,092.84 and 16,311

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Solution

The fourth proportional to 29,059.68, 40,092.84 and 16,311 is: 22,503.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,059.68 : 40,092.84 = 16,311 : x
  2. Step 2: Convert to fraction form
    29,059.68/40,092.84 = 16,311/x
  3. Step 3: Cross multiply
    29,059.68x = 40,092.84 × 16,311
  4. Step 4: Simplify right side
    29,059.68x = 653,954,313.24
  5. Step 5: Solve for x
    x = 653,954,313.24/29,059.68
  6. Step 6: Final answer
    x = 22,503.84

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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.