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Finding the Fourth Proportional to 76,405.50, 114,654.33 and 32,629.50

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Solution

The fourth proportional to 76,405.50, 114,654.33 and 32,629.50 is: 48,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.50 : 114,654.33 = 32,629.50 : x
  2. Step 2: Convert to fraction form
    76,405.50/114,654.33 = 32,629.50/x
  3. Step 3: Cross multiply
    76,405.50x = 114,654.33 × 32,629.50
  4. Step 4: Simplify right side
    76,405.50x = 3,741,113,460.74
  5. Step 5: Solve for x
    x = 3,741,113,460.74/76,405.50
  6. Step 6: Final answer
    x = 48,963.93

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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.