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Finding the Fourth Proportional to 52,109.86, 78,163.70 and 12,667.18

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Solution

The fourth proportional to 52,109.86, 78,163.70 and 12,667.18 is: 19,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,109.86 : 78,163.70 = 12,667.18 : x
  2. Step 2: Convert to fraction form
    52,109.86/78,163.70 = 12,667.18/x
  3. Step 3: Cross multiply
    52,109.86x = 78,163.70 × 12,667.18
  4. Step 4: Simplify right side
    52,109.86x = 990,113,657.37
  5. Step 5: Solve for x
    x = 990,113,657.37/52,109.86
  6. Step 6: Final answer
    x = 19,000.51

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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.