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Finding the Fourth Proportional to 103,190.95, 154,760.10 and 32,099.68

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Solution

The fourth proportional to 103,190.95, 154,760.10 and 32,099.68 is: 48,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,190.95 : 154,760.10 = 32,099.68 : x
  2. Step 2: Convert to fraction form
    103,190.95/154,760.10 = 32,099.68/x
  3. Step 3: Cross multiply
    103,190.95x = 154,760.10 × 32,099.68
  4. Step 4: Simplify right side
    103,190.95x = 4,967,749,686.77
  5. Step 5: Solve for x
    x = 4,967,749,686.77/103,190.95
  6. Step 6: Final answer
    x = 48,141.33

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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.