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Finding the Fourth Proportional to 38,665, 53,349.60 and 22,751.20

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Solution

The fourth proportional to 38,665, 53,349.60 and 22,751.20 is: 31,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665 : 53,349.60 = 22,751.20 : x
  2. Step 2: Convert to fraction form
    38,665/53,349.60 = 22,751.20/x
  3. Step 3: Cross multiply
    38,665x = 53,349.60 × 22,751.20
  4. Step 4: Simplify right side
    38,665x = 1,213,767,419.52
  5. Step 5: Solve for x
    x = 1,213,767,419.52/38,665
  6. Step 6: Final answer
    x = 31,391.89

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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.