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Finding the Fourth Proportional to 38,666, 53,358.72 and 21,899

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Solution

The fourth proportional to 38,666, 53,358.72 and 21,899 is: 30,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 53,358.72 = 21,899 : x
  2. Step 2: Convert to fraction form
    38,666/53,358.72 = 21,899/x
  3. Step 3: Cross multiply
    38,666x = 53,358.72 × 21,899
  4. Step 4: Simplify right side
    38,666x = 1,168,502,609.28
  5. Step 5: Solve for x
    x = 1,168,502,609.28/38,666
  6. Step 6: Final answer
    x = 30,220.42

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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.