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Finding the Fourth Proportional to 53,798, 74,241.24 and 30,246

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Solution

The fourth proportional to 53,798, 74,241.24 and 30,246 is: 41,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,798 : 74,241.24 = 30,246 : x
  2. Step 2: Convert to fraction form
    53,798/74,241.24 = 30,246/x
  3. Step 3: Cross multiply
    53,798x = 74,241.24 × 30,246
  4. Step 4: Simplify right side
    53,798x = 2,245,500,545.04
  5. Step 5: Solve for x
    x = 2,245,500,545.04/53,798
  6. Step 6: Final answer
    x = 41,739.48

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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.