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Finding the Fourth Proportional to 99,749, 137,656.50 and 55,039.88

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Solution

The fourth proportional to 99,749, 137,656.50 and 55,039.88 is: 75,956.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,749 : 137,656.50 = 55,039.88 : x
  2. Step 2: Convert to fraction form
    99,749/137,656.50 = 55,039.88/x
  3. Step 3: Cross multiply
    99,749x = 137,656.50 × 55,039.88
  4. Step 4: Simplify right side
    99,749x = 7,576,597,241.22
  5. Step 5: Solve for x
    x = 7,576,597,241.22/99,749
  6. Step 6: Final answer
    x = 75,956.62

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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.