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Finding the Fourth Proportional to 55,238.50, 82,703.37 and 29,847.06

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Solution

The fourth proportional to 55,238.50, 82,703.37 and 29,847.06 is: 44,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,238.50 : 82,703.37 = 29,847.06 : x
  2. Step 2: Convert to fraction form
    55,238.50/82,703.37 = 29,847.06/x
  3. Step 3: Cross multiply
    55,238.50x = 82,703.37 × 29,847.06
  4. Step 4: Simplify right side
    55,238.50x = 2,468,452,446.59
  5. Step 5: Solve for x
    x = 2,468,452,446.59/55,238.50
  6. Step 6: Final answer
    x = 44,687.17

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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.