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Finding the Fourth Proportional to 47,714.54, 65,841.17 and 27,577.89

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Solution

The fourth proportional to 47,714.54, 65,841.17 and 27,577.89 is: 38,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.54 : 65,841.17 = 27,577.89 : x
  2. Step 2: Convert to fraction form
    47,714.54/65,841.17 = 27,577.89/x
  3. Step 3: Cross multiply
    47,714.54x = 65,841.17 × 27,577.89
  4. Step 4: Simplify right side
    47,714.54x = 1,815,760,405.84
  5. Step 5: Solve for x
    x = 1,815,760,405.84/47,714.54
  6. Step 6: Final answer
    x = 38,054.66

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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.