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Finding the Fourth Proportional to 52,564.44, 78,765.66 and 25,879.80

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Solution

The fourth proportional to 52,564.44, 78,765.66 and 25,879.80 is: 38,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,564.44 : 78,765.66 = 25,879.80 : x
  2. Step 2: Convert to fraction form
    52,564.44/78,765.66 = 25,879.80/x
  3. Step 3: Cross multiply
    52,564.44x = 78,765.66 × 25,879.80
  4. Step 4: Simplify right side
    52,564.44x = 2,038,439,527.67
  5. Step 5: Solve for x
    x = 2,038,439,527.67/52,564.44
  6. Step 6: Final answer
    x = 38,779.82

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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.