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Finding the Fourth Proportional to 92,099, 138,148.50 and 29,769.50

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Solution

The fourth proportional to 92,099, 138,148.50 and 29,769.50 is: 44,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,099 : 138,148.50 = 29,769.50 : x
  2. Step 2: Convert to fraction form
    92,099/138,148.50 = 29,769.50/x
  3. Step 3: Cross multiply
    92,099x = 138,148.50 × 29,769.50
  4. Step 4: Simplify right side
    92,099x = 4,112,611,770.75
  5. Step 5: Solve for x
    x = 4,112,611,770.75/92,099
  6. Step 6: Final answer
    x = 44,654.25

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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.