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Finding the Fourth Proportional to 52,408.70, 72,312.81 and 33,294.50

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Solution

The fourth proportional to 52,408.70, 72,312.81 and 33,294.50 is: 45,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,408.70 : 72,312.81 = 33,294.50 : x
  2. Step 2: Convert to fraction form
    52,408.70/72,312.81 = 33,294.50/x
  3. Step 3: Cross multiply
    52,408.70x = 72,312.81 × 33,294.50
  4. Step 4: Simplify right side
    52,408.70x = 2,407,618,852.55
  5. Step 5: Solve for x
    x = 2,407,618,852.55/52,408.70
  6. Step 6: Final answer
    x = 45,939.30

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