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Finding the Fourth Proportional to 52,164, 78,065.60 and 32,165.44

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Solution

The fourth proportional to 52,164, 78,065.60 and 32,165.44 is: 48,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,164 : 78,065.60 = 32,165.44 : x
  2. Step 2: Convert to fraction form
    52,164/78,065.60 = 32,165.44/x
  3. Step 3: Cross multiply
    52,164x = 78,065.60 × 32,165.44
  4. Step 4: Simplify right side
    52,164x = 2,511,014,372.86
  5. Step 5: Solve for x
    x = 2,511,014,372.86/52,164
  6. Step 6: Final answer
    x = 48,136.92

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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.