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Finding the Fourth Proportional to 55,357.97, 82,971.95 and 25,713.32

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Solution

The fourth proportional to 55,357.97, 82,971.95 and 25,713.32 is: 38,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,357.97 : 82,971.95 = 25,713.32 : x
  2. Step 2: Convert to fraction form
    55,357.97/82,971.95 = 25,713.32/x
  3. Step 3: Cross multiply
    55,357.97x = 82,971.95 × 25,713.32
  4. Step 4: Simplify right side
    55,357.97x = 2,133,483,757.95
  5. Step 5: Solve for x
    x = 2,133,483,757.95/55,357.97
  6. Step 6: Final answer
    x = 38,539.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.