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Finding the Fourth Proportional to 71,577.54, 107,285.31 and 36,442.98

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Solution

The fourth proportional to 71,577.54, 107,285.31 and 36,442.98 is: 54,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577.54 : 107,285.31 = 36,442.98 : x
  2. Step 2: Convert to fraction form
    71,577.54/107,285.31 = 36,442.98/x
  3. Step 3: Cross multiply
    71,577.54x = 107,285.31 × 36,442.98
  4. Step 4: Simplify right side
    71,577.54x = 3,909,796,406.62
  5. Step 5: Solve for x
    x = 3,909,796,406.62/71,577.54
  6. Step 6: Final answer
    x = 54,623.23

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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.