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Finding the Fourth Proportional to 34,124.82, 51,188.04 and 9,164.90

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Solution

The fourth proportional to 34,124.82, 51,188.04 and 9,164.90 is: 13,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,124.82 : 51,188.04 = 9,164.90 : x
  2. Step 2: Convert to fraction form
    34,124.82/51,188.04 = 9,164.90/x
  3. Step 3: Cross multiply
    34,124.82x = 51,188.04 × 9,164.90
  4. Step 4: Simplify right side
    34,124.82x = 469,133,011.86
  5. Step 5: Solve for x
    x = 469,133,011.86/34,124.82
  6. Step 6: Final answer
    x = 13,747.56

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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.