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Finding the Fourth Proportional to 45,538, 62,842.44 and 25,666

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Solution

The fourth proportional to 45,538, 62,842.44 and 25,666 is: 35,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,538 : 62,842.44 = 25,666 : x
  2. Step 2: Convert to fraction form
    45,538/62,842.44 = 25,666/x
  3. Step 3: Cross multiply
    45,538x = 62,842.44 × 25,666
  4. Step 4: Simplify right side
    45,538x = 1,612,914,065.04
  5. Step 5: Solve for x
    x = 1,612,914,065.04/45,538
  6. Step 6: Final answer
    x = 35,419.08

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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.