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Finding the Fourth Proportional to 38,934.40, 53,730.96 and 21,945.40

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Solution

The fourth proportional to 38,934.40, 53,730.96 and 21,945.40 is: 30,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,934.40 : 53,730.96 = 21,945.40 : x
  2. Step 2: Convert to fraction form
    38,934.40/53,730.96 = 21,945.40/x
  3. Step 3: Cross multiply
    38,934.40x = 53,730.96 × 21,945.40
  4. Step 4: Simplify right side
    38,934.40x = 1,179,147,409.58
  5. Step 5: Solve for x
    x = 1,179,147,409.58/38,934.40
  6. Step 6: Final answer
    x = 30,285.49

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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.