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Finding the Fourth Proportional to 29,709.62, 40,999.09 and 16,461.62

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Solution

The fourth proportional to 29,709.62, 40,999.09 and 16,461.62 is: 22,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,709.62 : 40,999.09 = 16,461.62 : x
  2. Step 2: Convert to fraction form
    29,709.62/40,999.09 = 16,461.62/x
  3. Step 3: Cross multiply
    29,709.62x = 40,999.09 × 16,461.62
  4. Step 4: Simplify right side
    29,709.62x = 674,911,439.93
  5. Step 5: Solve for x
    x = 674,911,439.93/29,709.62
  6. Step 6: Final answer
    x = 22,716.93

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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.