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Finding the Fourth Proportional to 51,469.42, 77,215.50 and 16,409.08

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Solution

The fourth proportional to 51,469.42, 77,215.50 and 16,409.08 is: 24,617.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,469.42 : 77,215.50 = 16,409.08 : x
  2. Step 2: Convert to fraction form
    51,469.42/77,215.50 = 16,409.08/x
  3. Step 3: Cross multiply
    51,469.42x = 77,215.50 × 16,409.08
  4. Step 4: Simplify right side
    51,469.42x = 1,267,035,316.74
  5. Step 5: Solve for x
    x = 1,267,035,316.74/51,469.42
  6. Step 6: Final answer
    x = 24,617.24

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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.