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Finding the Fourth Proportional to 53,853, 74,318.85 and 33,703.44

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Solution

The fourth proportional to 53,853, 74,318.85 and 33,703.44 is: 46,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,853 : 74,318.85 = 33,703.44 : x
  2. Step 2: Convert to fraction form
    53,853/74,318.85 = 33,703.44/x
  3. Step 3: Cross multiply
    53,853x = 74,318.85 × 33,703.44
  4. Step 4: Simplify right side
    53,853x = 2,504,800,901.84
  5. Step 5: Solve for x
    x = 2,504,800,901.84/53,853
  6. Step 6: Final answer
    x = 46,511.82

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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.