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Finding the Fourth Proportional to 76,467.60, 114,717.60 and 23,155.20

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Solution

The fourth proportional to 76,467.60, 114,717.60 and 23,155.20 is: 34,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,467.60 : 114,717.60 = 23,155.20 : x
  2. Step 2: Convert to fraction form
    76,467.60/114,717.60 = 23,155.20/x
  3. Step 3: Cross multiply
    76,467.60x = 114,717.60 × 23,155.20
  4. Step 4: Simplify right side
    76,467.60x = 2,656,308,971.52
  5. Step 5: Solve for x
    x = 2,656,308,971.52/76,467.60
  6. Step 6: Final answer
    x = 34,737.71

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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.