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Finding the Fourth Proportional to 74,133.50, 111,214.17 and 29,763.72

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Solution

The fourth proportional to 74,133.50, 111,214.17 and 29,763.72 is: 44,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,133.50 : 111,214.17 = 29,763.72 : x
  2. Step 2: Convert to fraction form
    74,133.50/111,214.17 = 29,763.72/x
  3. Step 3: Cross multiply
    74,133.50x = 111,214.17 × 29,763.72
  4. Step 4: Simplify right side
    74,133.50x = 3,310,147,415.91
  5. Step 5: Solve for x
    x = 3,310,147,415.91/74,133.50
  6. Step 6: Final answer
    x = 44,651.17

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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.