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Finding the Fourth Proportional to 34,405.61, 51,608.50 and 9,446.00

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Solution

The fourth proportional to 34,405.61, 51,608.50 and 9,446.00 is: 14,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,405.61 : 51,608.50 = 9,446.00 : x
  2. Step 2: Convert to fraction form
    34,405.61/51,608.50 = 9,446.00/x
  3. Step 3: Cross multiply
    34,405.61x = 51,608.50 × 9,446.00
  4. Step 4: Simplify right side
    34,405.61x = 487,493,996.41
  5. Step 5: Solve for x
    x = 487,493,996.41/34,405.61
  6. Step 6: Final answer
    x = 14,169.03

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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.