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Finding the Fourth Proportional to 52,454.86, 78,589 and 30,222.30

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Solution

The fourth proportional to 52,454.86, 78,589 and 30,222.30 is: 45,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,454.86 : 78,589 = 30,222.30 : x
  2. Step 2: Convert to fraction form
    52,454.86/78,589 = 30,222.30/x
  3. Step 3: Cross multiply
    52,454.86x = 78,589 × 30,222.30
  4. Step 4: Simplify right side
    52,454.86x = 2,375,140,334.70
  5. Step 5: Solve for x
    x = 2,375,140,334.70/52,454.86
  6. Step 6: Final answer
    x = 45,279.70

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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.