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Finding the Fourth Proportional to 38,548.89, 53,208.73 and 22,419.98

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Solution

The fourth proportional to 38,548.89, 53,208.73 and 22,419.98 is: 30,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,548.89 : 53,208.73 = 22,419.98 : x
  2. Step 2: Convert to fraction form
    38,548.89/53,208.73 = 22,419.98/x
  3. Step 3: Cross multiply
    38,548.89x = 53,208.73 × 22,419.98
  4. Step 4: Simplify right side
    38,548.89x = 1,192,938,662.43
  5. Step 5: Solve for x
    x = 1,192,938,662.43/38,548.89
  6. Step 6: Final answer
    x = 30,946.12

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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.