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Finding the Fourth Proportional to 52,672.56, 78,997.84 and 19,384

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Solution

The fourth proportional to 52,672.56, 78,997.84 and 19,384 is: 29,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,672.56 : 78,997.84 = 19,384 : x
  2. Step 2: Convert to fraction form
    52,672.56/78,997.84 = 19,384/x
  3. Step 3: Cross multiply
    52,672.56x = 78,997.84 × 19,384
  4. Step 4: Simplify right side
    52,672.56x = 1,531,294,130.56
  5. Step 5: Solve for x
    x = 1,531,294,130.56/52,672.56
  6. Step 6: Final answer
    x = 29,071.95

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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.