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Finding the Fourth Proportional to 52,523.55, 78,748.42 and 19,239.30

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Solution

The fourth proportional to 52,523.55, 78,748.42 and 19,239.30 is: 28,845.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,523.55 : 78,748.42 = 19,239.30 : x
  2. Step 2: Convert to fraction form
    52,523.55/78,748.42 = 19,239.30/x
  3. Step 3: Cross multiply
    52,523.55x = 78,748.42 × 19,239.30
  4. Step 4: Simplify right side
    52,523.55x = 1,515,064,476.91
  5. Step 5: Solve for x
    x = 1,515,064,476.91/52,523.55
  6. Step 6: Final answer
    x = 28,845.43

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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.