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Finding the Fourth Proportional to 29,695, 40,977.90 and 17,764.93

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Solution

The fourth proportional to 29,695, 40,977.90 and 17,764.93 is: 24,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,695 : 40,977.90 = 17,764.93 : x
  2. Step 2: Convert to fraction form
    29,695/40,977.90 = 17,764.93/x
  3. Step 3: Cross multiply
    29,695x = 40,977.90 × 17,764.93
  4. Step 4: Simplify right side
    29,695x = 727,969,525.05
  5. Step 5: Solve for x
    x = 727,969,525.05/29,695
  6. Step 6: Final answer
    x = 24,514.89

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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.