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Finding the Fourth Proportional to 52,408.20, 72,312.12 and 33,294

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Solution

The fourth proportional to 52,408.20, 72,312.12 and 33,294 is: 45,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.20 : 72,312.12 = 33,294 : x
  2. Step 2: Convert to fraction form
    52,408.20/72,312.12 = 33,294/x
  3. Step 3: Cross multiply
    52,408.20x = 72,312.12 × 33,294
  4. Step 4: Simplify right side
    52,408.20x = 2,407,559,723.28
  5. Step 5: Solve for x
    x = 2,407,559,723.28/52,408.20
  6. Step 6: Final answer
    x = 45,938.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.