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Finding the Fourth Proportional to 38,455.40, 53,059.38 and 21,685.16

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Solution

The fourth proportional to 38,455.40, 53,059.38 and 21,685.16 is: 29,920.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455.40 : 53,059.38 = 21,685.16 : x
  2. Step 2: Convert to fraction form
    38,455.40/53,059.38 = 21,685.16/x
  3. Step 3: Cross multiply
    38,455.40x = 53,059.38 × 21,685.16
  4. Step 4: Simplify right side
    38,455.40x = 1,150,601,144.80
  5. Step 5: Solve for x
    x = 1,150,601,144.80/38,455.40
  6. Step 6: Final answer
    x = 29,920.41

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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.