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Finding the Fourth Proportional to 34,014.32, 50,972 and 15,015.84

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Solution

The fourth proportional to 34,014.32, 50,972 and 15,015.84 is: 22,501.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.32 : 50,972 = 15,015.84 : x
  2. Step 2: Convert to fraction form
    34,014.32/50,972 = 15,015.84/x
  3. Step 3: Cross multiply
    34,014.32x = 50,972 × 15,015.84
  4. Step 4: Simplify right side
    34,014.32x = 765,387,396.48
  5. Step 5: Solve for x
    x = 765,387,396.48/34,014.32
  6. Step 6: Final answer
    x = 22,501.92

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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.