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Finding the Fourth Proportional to 29,715, 41,006.70 and 17,778.84

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Solution

The fourth proportional to 29,715, 41,006.70 and 17,778.84 is: 24,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,715 : 41,006.70 = 17,778.84 : x
  2. Step 2: Convert to fraction form
    29,715/41,006.70 = 17,778.84/x
  3. Step 3: Cross multiply
    29,715x = 41,006.70 × 17,778.84
  4. Step 4: Simplify right side
    29,715x = 729,051,558.23
  5. Step 5: Solve for x
    x = 729,051,558.23/29,715
  6. Step 6: Final answer
    x = 24,534.80

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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.