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Finding the Fourth Proportional to 38,711, 53,422.26 and 21,945.08

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Solution

The fourth proportional to 38,711, 53,422.26 and 21,945.08 is: 30,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,711 : 53,422.26 = 21,945.08 : x
  2. Step 2: Convert to fraction form
    38,711/53,422.26 = 21,945.08/x
  3. Step 3: Cross multiply
    38,711x = 53,422.26 × 21,945.08
  4. Step 4: Simplify right side
    38,711x = 1,172,355,769.48
  5. Step 5: Solve for x
    x = 1,172,355,769.48/38,711
  6. Step 6: Final answer
    x = 30,284.82

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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.