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Finding the Fourth Proportional to 38,138.81, 52,624.08 and 21,142.31

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Solution

The fourth proportional to 38,138.81, 52,624.08 and 21,142.31 is: 29,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138.81 : 52,624.08 = 21,142.31 : x
  2. Step 2: Convert to fraction form
    38,138.81/52,624.08 = 21,142.31/x
  3. Step 3: Cross multiply
    38,138.81x = 52,624.08 × 21,142.31
  4. Step 4: Simplify right side
    38,138.81x = 1,112,594,349.70
  5. Step 5: Solve for x
    x = 1,112,594,349.70/38,138.81
  6. Step 6: Final answer
    x = 29,172.24

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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.