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Finding the Fourth Proportional to 76,576.90, 114,748.40 and 32,179.38

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Solution

The fourth proportional to 76,576.90, 114,748.40 and 32,179.38 is: 48,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.90 : 114,748.40 = 32,179.38 : x
  2. Step 2: Convert to fraction form
    76,576.90/114,748.40 = 32,179.38/x
  3. Step 3: Cross multiply
    76,576.90x = 114,748.40 × 32,179.38
  4. Step 4: Simplify right side
    76,576.90x = 3,692,532,207.10
  5. Step 5: Solve for x
    x = 3,692,532,207.10/76,576.90
  6. Step 6: Final answer
    x = 48,219.93

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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.