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Finding the Fourth Proportional to 47,040.80, 64,917.04 and 25,822

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Solution

The fourth proportional to 47,040.80, 64,917.04 and 25,822 is: 35,634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,040.80 : 64,917.04 = 25,822 : x
  2. Step 2: Convert to fraction form
    47,040.80/64,917.04 = 25,822/x
  3. Step 3: Cross multiply
    47,040.80x = 64,917.04 × 25,822
  4. Step 4: Simplify right side
    47,040.80x = 1,676,287,806.88
  5. Step 5: Solve for x
    x = 1,676,287,806.88/47,040.80
  6. Step 6: Final answer
    x = 35,634.76

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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.