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Finding the Fourth Proportional to 99,804, 137,729.64 and 55,092

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Solution

The fourth proportional to 99,804, 137,729.64 and 55,092 is: 76,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804 : 137,729.64 = 55,092 : x
  2. Step 2: Convert to fraction form
    99,804/137,729.64 = 55,092/x
  3. Step 3: Cross multiply
    99,804x = 137,729.64 × 55,092
  4. Step 4: Simplify right side
    99,804x = 7,587,801,326.88
  5. Step 5: Solve for x
    x = 7,587,801,326.88/99,804
  6. Step 6: Final answer
    x = 76,027.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.