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Finding the Fourth Proportional to 38,730.38, 53,447.93 and 21,963.38

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Solution

The fourth proportional to 38,730.38, 53,447.93 and 21,963.38 is: 30,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,730.38 : 53,447.93 = 21,963.38 : x
  2. Step 2: Convert to fraction form
    38,730.38/53,447.93 = 21,963.38/x
  3. Step 3: Cross multiply
    38,730.38x = 53,447.93 × 21,963.38
  4. Step 4: Simplify right side
    38,730.38x = 1,173,896,819.75
  5. Step 5: Solve for x
    x = 1,173,896,819.75/38,730.38
  6. Step 6: Final answer
    x = 30,309.46

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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.