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Finding the Fourth Proportional to 38,706.80, 53,419.56 and 21,938

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Solution

The fourth proportional to 38,706.80, 53,419.56 and 21,938 is: 30,276.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.80 : 53,419.56 = 21,938 : x
  2. Step 2: Convert to fraction form
    38,706.80/53,419.56 = 21,938/x
  3. Step 3: Cross multiply
    38,706.80x = 53,419.56 × 21,938
  4. Step 4: Simplify right side
    38,706.80x = 1,171,918,307.28
  5. Step 5: Solve for x
    x = 1,171,918,307.28/38,706.80
  6. Step 6: Final answer
    x = 30,276.81

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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.