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Finding the Fourth Proportional to 52,142.50, 78,016.92 and 32,328.28

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Solution

The fourth proportional to 52,142.50, 78,016.92 and 32,328.28 is: 48,370.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.50 : 78,016.92 = 32,328.28 : x
  2. Step 2: Convert to fraction form
    52,142.50/78,016.92 = 32,328.28/x
  3. Step 3: Cross multiply
    52,142.50x = 78,016.92 × 32,328.28
  4. Step 4: Simplify right side
    52,142.50x = 2,522,152,834.50
  5. Step 5: Solve for x
    x = 2,522,152,834.50/52,142.50
  6. Step 6: Final answer
    x = 48,370.39

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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.