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Finding the Fourth Proportional to 52,245.40, 78,368.10 and 32,513.80

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Solution

The fourth proportional to 52,245.40, 78,368.10 and 32,513.80 is: 48,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,245.40 : 78,368.10 = 32,513.80 : x
  2. Step 2: Convert to fraction form
    52,245.40/78,368.10 = 32,513.80/x
  3. Step 3: Cross multiply
    52,245.40x = 78,368.10 × 32,513.80
  4. Step 4: Simplify right side
    52,245.40x = 2,548,044,729.78
  5. Step 5: Solve for x
    x = 2,548,044,729.78/52,245.40
  6. Step 6: Final answer
    x = 48,770.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.