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Finding the Fourth Proportional to 29,540.16, 40,764.57 and 16,111.38

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Solution

The fourth proportional to 29,540.16, 40,764.57 and 16,111.38 is: 22,233.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,540.16 : 40,764.57 = 16,111.38 : x
  2. Step 2: Convert to fraction form
    29,540.16/40,764.57 = 16,111.38/x
  3. Step 3: Cross multiply
    29,540.16x = 40,764.57 × 16,111.38
  4. Step 4: Simplify right side
    29,540.16x = 656,773,477.81
  5. Step 5: Solve for x
    x = 656,773,477.81/29,540.16
  6. Step 6: Final answer
    x = 22,233.24

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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.