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Finding the Fourth Proportional to 64,086.96, 96,057 and 24,623.76

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Solution

The fourth proportional to 64,086.96, 96,057 and 24,623.76 is: 36,907.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,086.96 : 96,057 = 24,623.76 : x
  2. Step 2: Convert to fraction form
    64,086.96/96,057 = 24,623.76/x
  3. Step 3: Cross multiply
    64,086.96x = 96,057 × 24,623.76
  4. Step 4: Simplify right side
    64,086.96x = 2,365,284,514.32
  5. Step 5: Solve for x
    x = 2,365,284,514.32/64,086.96
  6. Step 6: Final answer
    x = 36,907.42

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