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Finding the Fourth Proportional to 76,134.30, 114,201.45 and 20,730.30

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Solution

The fourth proportional to 76,134.30, 114,201.45 and 20,730.30 is: 31,095.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.30 : 114,201.45 = 20,730.30 : x
  2. Step 2: Convert to fraction form
    76,134.30/114,201.45 = 20,730.30/x
  3. Step 3: Cross multiply
    76,134.30x = 114,201.45 × 20,730.30
  4. Step 4: Simplify right side
    76,134.30x = 2,367,430,318.94
  5. Step 5: Solve for x
    x = 2,367,430,318.94/76,134.30
  6. Step 6: Final answer
    x = 31,095.45

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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.