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Finding the Fourth Proportional to 29,687.99, 40,967.78 and 22,602.11

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Solution

The fourth proportional to 29,687.99, 40,967.78 and 22,602.11 is: 31,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,687.99 : 40,967.78 = 22,602.11 : x
  2. Step 2: Convert to fraction form
    29,687.99/40,967.78 = 22,602.11/x
  3. Step 3: Cross multiply
    29,687.99x = 40,967.78 × 22,602.11
  4. Step 4: Simplify right side
    29,687.99x = 925,958,270.02
  5. Step 5: Solve for x
    x = 925,958,270.02/29,687.99
  6. Step 6: Final answer
    x = 31,189.66

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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.