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Finding the Fourth Proportional to 71,320.50, 106,995.33 and 29,767.50

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Solution

The fourth proportional to 71,320.50, 106,995.33 and 29,767.50 is: 44,657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,320.50 : 106,995.33 = 29,767.50 : x
  2. Step 2: Convert to fraction form
    71,320.50/106,995.33 = 29,767.50/x
  3. Step 3: Cross multiply
    71,320.50x = 106,995.33 × 29,767.50
  4. Step 4: Simplify right side
    71,320.50x = 3,184,983,485.78
  5. Step 5: Solve for x
    x = 3,184,983,485.78/71,320.50
  6. Step 6: Final answer
    x = 44,657.34

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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.