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Finding the Fourth Proportional to 52,014.42, 78,003.17 and 18,725.54

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Solution

The fourth proportional to 52,014.42, 78,003.17 and 18,725.54 is: 28,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,014.42 : 78,003.17 = 18,725.54 : x
  2. Step 2: Convert to fraction form
    52,014.42/78,003.17 = 18,725.54/x
  3. Step 3: Cross multiply
    52,014.42x = 78,003.17 × 18,725.54
  4. Step 4: Simplify right side
    52,014.42x = 1,460,651,654.50
  5. Step 5: Solve for x
    x = 1,460,651,654.50/52,014.42
  6. Step 6: Final answer
    x = 28,081.67

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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.