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Finding the Fourth Proportional to 38,426.10, 53,033.19 and 22,516.89

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Solution

The fourth proportional to 38,426.10, 53,033.19 and 22,516.89 is: 31,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,426.10 : 53,033.19 = 22,516.89 : x
  2. Step 2: Convert to fraction form
    38,426.10/53,033.19 = 22,516.89/x
  3. Step 3: Cross multiply
    38,426.10x = 53,033.19 × 22,516.89
  4. Step 4: Simplify right side
    38,426.10x = 1,194,142,505.58
  5. Step 5: Solve for x
    x = 1,194,142,505.58/38,426.10
  6. Step 6: Final answer
    x = 31,076.34

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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.