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Finding the Fourth Proportional to 52,102.82, 78,154.32 and 12,659.96

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Solution

The fourth proportional to 52,102.82, 78,154.32 and 12,659.96 is: 18,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,102.82 : 78,154.32 = 12,659.96 : x
  2. Step 2: Convert to fraction form
    52,102.82/78,154.32 = 12,659.96/x
  3. Step 3: Cross multiply
    52,102.82x = 78,154.32 × 12,659.96
  4. Step 4: Simplify right side
    52,102.82x = 989,430,565.03
  5. Step 5: Solve for x
    x = 989,430,565.03/52,102.82
  6. Step 6: Final answer
    x = 18,989.96

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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.