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Finding the Fourth Proportional to 76,401.90, 114,732.10 and 49,793.10

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Solution

The fourth proportional to 76,401.90, 114,732.10 and 49,793.10 is: 74,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401.90 : 114,732.10 = 49,793.10 : x
  2. Step 2: Convert to fraction form
    76,401.90/114,732.10 = 49,793.10/x
  3. Step 3: Cross multiply
    76,401.90x = 114,732.10 × 49,793.10
  4. Step 4: Simplify right side
    76,401.90x = 5,712,866,928.51
  5. Step 5: Solve for x
    x = 5,712,866,928.51/76,401.90
  6. Step 6: Final answer
    x = 74,773.89

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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.