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Finding the Fourth Proportional to 34,701.30, 52,052.10 and 8,406

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Solution

The fourth proportional to 34,701.30, 52,052.10 and 8,406 is: 12,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,701.30 : 52,052.10 = 8,406 : x
  2. Step 2: Convert to fraction form
    34,701.30/52,052.10 = 8,406/x
  3. Step 3: Cross multiply
    34,701.30x = 52,052.10 × 8,406
  4. Step 4: Simplify right side
    34,701.30x = 437,549,952.60
  5. Step 5: Solve for x
    x = 437,549,952.60/34,701.30
  6. Step 6: Final answer
    x = 12,609.04

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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.