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Finding the Fourth Proportional to 51,240.96, 76,861.44 and 14,304

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Solution

The fourth proportional to 51,240.96, 76,861.44 and 14,304 is: 21,456

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240.96 : 76,861.44 = 14,304 : x
  2. Step 2: Convert to fraction form
    51,240.96/76,861.44 = 14,304/x
  3. Step 3: Cross multiply
    51,240.96x = 76,861.44 × 14,304
  4. Step 4: Simplify right side
    51,240.96x = 1,099,426,037.76
  5. Step 5: Solve for x
    x = 1,099,426,037.76/51,240.96
  6. Step 6: Final answer
    x = 21,456

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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.