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Finding the Fourth Proportional to 38,421.28, 53,021.60 and 21,426.60

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Solution

The fourth proportional to 38,421.28, 53,021.60 and 21,426.60 is: 29,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,421.28 : 53,021.60 = 21,426.60 : x
  2. Step 2: Convert to fraction form
    38,421.28/53,021.60 = 21,426.60/x
  3. Step 3: Cross multiply
    38,421.28x = 53,021.60 × 21,426.60
  4. Step 4: Simplify right side
    38,421.28x = 1,136,072,308.60
  5. Step 5: Solve for x
    x = 1,136,072,308.60/38,421.28
  6. Step 6: Final answer
    x = 29,568.83

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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.