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Finding the Fourth Proportional to 175,764.64, 263,644.44 and 42,646

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Solution

The fourth proportional to 175,764.64, 263,644.44 and 42,646 is: 63,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,764.64 : 263,644.44 = 42,646 : x
  2. Step 2: Convert to fraction form
    175,764.64/263,644.44 = 42,646/x
  3. Step 3: Cross multiply
    175,764.64x = 263,644.44 × 42,646
  4. Step 4: Simplify right side
    175,764.64x = 11,243,380,788.24
  5. Step 5: Solve for x
    x = 11,243,380,788.24/175,764.64
  6. Step 6: Final answer
    x = 63,968.39

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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.