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Finding the Fourth Proportional to 38,414.61, 53,016.42 and 22,285.50

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Solution

The fourth proportional to 38,414.61, 53,016.42 and 22,285.50 is: 30,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.61 : 53,016.42 = 22,285.50 : x
  2. Step 2: Convert to fraction form
    38,414.61/53,016.42 = 22,285.50/x
  3. Step 3: Cross multiply
    38,414.61x = 53,016.42 × 22,285.50
  4. Step 4: Simplify right side
    38,414.61x = 1,181,497,427.91
  5. Step 5: Solve for x
    x = 1,181,497,427.91/38,414.61
  6. Step 6: Final answer
    x = 30,756.46

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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.