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Finding the Fourth Proportional to 34,701.50, 52,052.07 and 8,406.24

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Solution

The fourth proportional to 34,701.50, 52,052.07 and 8,406.24 is: 12,609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.50 : 52,052.07 = 8,406.24 : x
  2. Step 2: Convert to fraction form
    34,701.50/52,052.07 = 8,406.24/x
  3. Step 3: Cross multiply
    34,701.50x = 52,052.07 × 8,406.24
  4. Step 4: Simplify right side
    34,701.50x = 437,562,192.92
  5. Step 5: Solve for x
    x = 437,562,192.92/34,701.50
  6. Step 6: Final answer
    x = 12,609.32

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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.