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Finding the Fourth Proportional to 53,882.83, 74,360.61 and 30,009.50

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Solution

The fourth proportional to 53,882.83, 74,360.61 and 30,009.50 is: 41,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,882.83 : 74,360.61 = 30,009.50 : x
  2. Step 2: Convert to fraction form
    53,882.83/74,360.61 = 30,009.50/x
  3. Step 3: Cross multiply
    53,882.83x = 74,360.61 × 30,009.50
  4. Step 4: Simplify right side
    53,882.83x = 2,231,524,725.80
  5. Step 5: Solve for x
    x = 2,231,524,725.80/53,882.83
  6. Step 6: Final answer
    x = 41,414.39

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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.