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Finding the Fourth Proportional to 38,639.40, 53,318.76 and 21,872.40

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Solution

The fourth proportional to 38,639.40, 53,318.76 and 21,872.40 is: 30,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,639.40 : 53,318.76 = 21,872.40 : x
  2. Step 2: Convert to fraction form
    38,639.40/53,318.76 = 21,872.40/x
  3. Step 3: Cross multiply
    38,639.40x = 53,318.76 × 21,872.40
  4. Step 4: Simplify right side
    38,639.40x = 1,166,209,246.22
  5. Step 5: Solve for x
    x = 1,166,209,246.22/38,639.40
  6. Step 6: Final answer
    x = 30,181.87

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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.