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Finding the Fourth Proportional to 34,674.50, 52,003.04 and 9,708.08

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Solution

The fourth proportional to 34,674.50, 52,003.04 and 9,708.08 is: 14,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674.50 : 52,003.04 = 9,708.08 : x
  2. Step 2: Convert to fraction form
    34,674.50/52,003.04 = 9,708.08/x
  3. Step 3: Cross multiply
    34,674.50x = 52,003.04 × 9,708.08
  4. Step 4: Simplify right side
    34,674.50x = 504,849,672.56
  5. Step 5: Solve for x
    x = 504,849,672.56/34,674.50
  6. Step 6: Final answer
    x = 14,559.68

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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.