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Finding the Fourth Proportional to 55,852.98, 83,761.70 and 18,406.07

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Solution

The fourth proportional to 55,852.98, 83,761.70 and 18,406.07 is: 27,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852.98 : 83,761.70 = 18,406.07 : x
  2. Step 2: Convert to fraction form
    55,852.98/83,761.70 = 18,406.07/x
  3. Step 3: Cross multiply
    55,852.98x = 83,761.70 × 18,406.07
  4. Step 4: Simplify right side
    55,852.98x = 1,541,723,202.68
  5. Step 5: Solve for x
    x = 1,541,723,202.68/55,852.98
  6. Step 6: Final answer
    x = 27,603.24

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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.