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Finding the Fourth Proportional to 38,057.82, 52,506.86 and 22,129.16

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Solution

The fourth proportional to 38,057.82, 52,506.86 and 22,129.16 is: 30,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.82 : 52,506.86 = 22,129.16 : x
  2. Step 2: Convert to fraction form
    38,057.82/52,506.86 = 22,129.16/x
  3. Step 3: Cross multiply
    38,057.82x = 52,506.86 × 22,129.16
  4. Step 4: Simplify right side
    38,057.82x = 1,161,932,706.04
  5. Step 5: Solve for x
    x = 1,161,932,706.04/38,057.82
  6. Step 6: Final answer
    x = 30,530.72

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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.