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Finding the Fourth Proportional to 56,820.50, 78,379.77 and 35,562.86

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Solution

The fourth proportional to 56,820.50, 78,379.77 and 35,562.86 is: 49,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,820.50 : 78,379.77 = 35,562.86 : x
  2. Step 2: Convert to fraction form
    56,820.50/78,379.77 = 35,562.86/x
  3. Step 3: Cross multiply
    56,820.50x = 78,379.77 × 35,562.86
  4. Step 4: Simplify right side
    56,820.50x = 2,787,408,217.63
  5. Step 5: Solve for x
    x = 2,787,408,217.63/56,820.50
  6. Step 6: Final answer
    x = 49,056.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.