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Finding the Fourth Proportional to 29,677.02, 40,987.71 and 20,229.18

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Solution

The fourth proportional to 29,677.02, 40,987.71 and 20,229.18 is: 27,939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,677.02 : 40,987.71 = 20,229.18 : x
  2. Step 2: Convert to fraction form
    29,677.02/40,987.71 = 20,229.18/x
  3. Step 3: Cross multiply
    29,677.02x = 40,987.71 × 20,229.18
  4. Step 4: Simplify right side
    29,677.02x = 829,147,763.38
  5. Step 5: Solve for x
    x = 829,147,763.38/29,677.02
  6. Step 6: Final answer
    x = 27,939.05

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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.