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Finding the Fourth Proportional to 27,683.52, 38,205.48 and 15,750.48

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Solution

The fourth proportional to 27,683.52, 38,205.48 and 15,750.48 is: 21,736.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.52 : 38,205.48 = 15,750.48 : x
  2. Step 2: Convert to fraction form
    27,683.52/38,205.48 = 15,750.48/x
  3. Step 3: Cross multiply
    27,683.52x = 38,205.48 × 15,750.48
  4. Step 4: Simplify right side
    27,683.52x = 601,754,648.63
  5. Step 5: Solve for x
    x = 601,754,648.63/27,683.52
  6. Step 6: Final answer
    x = 21,736.93

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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.