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Finding the Fourth Proportional to 34,695.30, 52,043.08 and 8,400

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Solution

The fourth proportional to 34,695.30, 52,043.08 and 8,400 is: 12,600.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,695.30 : 52,043.08 = 8,400 : x
  2. Step 2: Convert to fraction form
    34,695.30/52,043.08 = 8,400/x
  3. Step 3: Cross multiply
    34,695.30x = 52,043.08 × 8,400
  4. Step 4: Simplify right side
    34,695.30x = 437,161,872
  5. Step 5: Solve for x
    x = 437,161,872/34,695.30
  6. Step 6: Final answer
    x = 12,600.03

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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.