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Finding the Fourth Proportional to 53,766, 74,197.08 and 30,214

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Solution

The fourth proportional to 53,766, 74,197.08 and 30,214 is: 41,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,766 : 74,197.08 = 30,214 : x
  2. Step 2: Convert to fraction form
    53,766/74,197.08 = 30,214/x
  3. Step 3: Cross multiply
    53,766x = 74,197.08 × 30,214
  4. Step 4: Simplify right side
    53,766x = 2,241,790,575.12
  5. Step 5: Solve for x
    x = 2,241,790,575.12/53,766
  6. Step 6: Final answer
    x = 41,695.32

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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.