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Finding the Fourth Proportional to 34,801.70, 52,199.84 and 12,314.63

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Solution

The fourth proportional to 34,801.70, 52,199.84 and 12,314.63 is: 18,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,801.70 : 52,199.84 = 12,314.63 : x
  2. Step 2: Convert to fraction form
    34,801.70/52,199.84 = 12,314.63/x
  3. Step 3: Cross multiply
    34,801.70x = 52,199.84 × 12,314.63
  4. Step 4: Simplify right side
    34,801.70x = 642,821,876.95
  5. Step 5: Solve for x
    x = 642,821,876.95/34,801.70
  6. Step 6: Final answer
    x = 18,470.99

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1.5x scale

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.