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Finding the Fourth Proportional to 76,155.67, 114,245.79 and 23,565.15

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Solution

The fourth proportional to 76,155.67, 114,245.79 and 23,565.15 is: 35,351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,155.67 : 114,245.79 = 23,565.15 : x
  2. Step 2: Convert to fraction form
    76,155.67/114,245.79 = 23,565.15/x
  3. Step 3: Cross multiply
    76,155.67x = 114,245.79 × 23,565.15
  4. Step 4: Simplify right side
    76,155.67x = 2,692,219,178.22
  5. Step 5: Solve for x
    x = 2,692,219,178.22/76,155.67
  6. Step 6: Final answer
    x = 35,351.53

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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.