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Finding the Fourth Proportional to 76,512.40, 114,759.46 and 20,356.63

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Solution

The fourth proportional to 76,512.40, 114,759.46 and 20,356.63 is: 30,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,512.40 : 114,759.46 = 20,356.63 : x
  2. Step 2: Convert to fraction form
    76,512.40/114,759.46 = 20,356.63/x
  3. Step 3: Cross multiply
    76,512.40x = 114,759.46 × 20,356.63
  4. Step 4: Simplify right side
    76,512.40x = 2,336,115,866.22
  5. Step 5: Solve for x
    x = 2,336,115,866.22/76,512.40
  6. Step 6: Final answer
    x = 30,532.51

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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.