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Finding the Fourth Proportional to 52,375.86, 78,537.60 and 26,095.14

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Solution

The fourth proportional to 52,375.86, 78,537.60 and 26,095.14 is: 39,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,375.86 : 78,537.60 = 26,095.14 : x
  2. Step 2: Convert to fraction form
    52,375.86/78,537.60 = 26,095.14/x
  3. Step 3: Cross multiply
    52,375.86x = 78,537.60 × 26,095.14
  4. Step 4: Simplify right side
    52,375.86x = 2,049,449,667.26
  5. Step 5: Solve for x
    x = 2,049,449,667.26/52,375.86
  6. Step 6: Final answer
    x = 39,129.66

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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.