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Finding the Fourth Proportional to 27,772.80, 38,326.31 and 25,513.50

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Solution

The fourth proportional to 27,772.80, 38,326.31 and 25,513.50 is: 35,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.80 : 38,326.31 = 25,513.50 : x
  2. Step 2: Convert to fraction form
    27,772.80/38,326.31 = 25,513.50/x
  3. Step 3: Cross multiply
    27,772.80x = 38,326.31 × 25,513.50
  4. Step 4: Simplify right side
    27,772.80x = 977,838,182.62
  5. Step 5: Solve for x
    x = 977,838,182.62/27,772.80
  6. Step 6: Final answer
    x = 35,208.48

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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.