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Finding the Fourth Proportional to 52,491.73, 78,714.50 and 19,203.16

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Solution

The fourth proportional to 52,491.73, 78,714.50 and 19,203.16 is: 28,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,491.73 : 78,714.50 = 19,203.16 : x
  2. Step 2: Convert to fraction form
    52,491.73/78,714.50 = 19,203.16/x
  3. Step 3: Cross multiply
    52,491.73x = 78,714.50 × 19,203.16
  4. Step 4: Simplify right side
    52,491.73x = 1,511,567,137.82
  5. Step 5: Solve for x
    x = 1,511,567,137.82/52,491.73
  6. Step 6: Final answer
    x = 28,796.29

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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.