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Finding the Fourth Proportional to 38,735.30, 53,453.04 and 21,506.60

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Solution

The fourth proportional to 38,735.30, 53,453.04 and 21,506.60 is: 29,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,735.30 : 53,453.04 = 21,506.60 : x
  2. Step 2: Convert to fraction form
    38,735.30/53,453.04 = 21,506.60/x
  3. Step 3: Cross multiply
    38,735.30x = 53,453.04 × 21,506.60
  4. Step 4: Simplify right side
    38,735.30x = 1,149,593,150.06
  5. Step 5: Solve for x
    x = 1,149,593,150.06/38,735.30
  6. Step 6: Final answer
    x = 29,678.18

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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.