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Finding the Fourth Proportional to 109,714.98, 164,473.92 and 39,577.89

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Solution

The fourth proportional to 109,714.98, 164,473.92 and 39,577.89 is: 59,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,714.98 : 164,473.92 = 39,577.89 : x
  2. Step 2: Convert to fraction form
    109,714.98/164,473.92 = 39,577.89/x
  3. Step 3: Cross multiply
    109,714.98x = 164,473.92 × 39,577.89
  4. Step 4: Simplify right side
    109,714.98x = 6,509,530,713.63
  5. Step 5: Solve for x
    x = 6,509,530,713.63/109,714.98
  6. Step 6: Final answer
    x = 59,331.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.