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Finding the Fourth Proportional to 52,294.76, 78,367.26 and 40,553

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Solution

The fourth proportional to 52,294.76, 78,367.26 and 40,553 is: 60,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.76 : 78,367.26 = 40,553 : x
  2. Step 2: Convert to fraction form
    52,294.76/78,367.26 = 40,553/x
  3. Step 3: Cross multiply
    52,294.76x = 78,367.26 × 40,553
  4. Step 4: Simplify right side
    52,294.76x = 3,178,027,494.78
  5. Step 5: Solve for x
    x = 3,178,027,494.78/52,294.76
  6. Step 6: Final answer
    x = 60,771.43

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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.