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Finding the Fourth Proportional to 92,546.12, 127,714.92 and 54,334.38

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Solution

The fourth proportional to 92,546.12, 127,714.92 and 54,334.38 is: 74,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,546.12 : 127,714.92 = 54,334.38 : x
  2. Step 2: Convert to fraction form
    92,546.12/127,714.92 = 54,334.38/x
  3. Step 3: Cross multiply
    92,546.12x = 127,714.92 × 54,334.38
  4. Step 4: Simplify right side
    92,546.12x = 6,939,310,994.95
  5. Step 5: Solve for x
    x = 6,939,310,994.95/92,546.12
  6. Step 6: Final answer
    x = 74,982.19

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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.