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Finding the Fourth Proportional to 34,168.83, 51,238.12 and 15,448.11

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Solution

The fourth proportional to 34,168.83, 51,238.12 and 15,448.11 is: 23,165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,168.83 : 51,238.12 = 15,448.11 : x
  2. Step 2: Convert to fraction form
    34,168.83/51,238.12 = 15,448.11/x
  3. Step 3: Cross multiply
    34,168.83x = 51,238.12 × 15,448.11
  4. Step 4: Simplify right side
    34,168.83x = 791,532,113.95
  5. Step 5: Solve for x
    x = 791,532,113.95/34,168.83
  6. Step 6: Final answer
    x = 23,165.33

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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.