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Finding the Fourth Proportional to 52,116.68, 78,171.92 and 32,130

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Solution

The fourth proportional to 52,116.68, 78,171.92 and 32,130 is: 48,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.68 : 78,171.92 = 32,130 : x
  2. Step 2: Convert to fraction form
    52,116.68/78,171.92 = 32,130/x
  3. Step 3: Cross multiply
    52,116.68x = 78,171.92 × 32,130
  4. Step 4: Simplify right side
    52,116.68x = 2,511,663,749.44
  5. Step 5: Solve for x
    x = 2,511,663,749.44/52,116.68
  6. Step 6: Final answer
    x = 48,193.09

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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.