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Finding the Fourth Proportional to 34,027.40, 51,041.92 and 12,964.70

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Solution

The fourth proportional to 34,027.40, 51,041.92 and 12,964.70 is: 19,447.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027.40 : 51,041.92 = 12,964.70 : x
  2. Step 2: Convert to fraction form
    34,027.40/51,041.92 = 12,964.70/x
  3. Step 3: Cross multiply
    34,027.40x = 51,041.92 × 12,964.70
  4. Step 4: Simplify right side
    34,027.40x = 661,743,180.22
  5. Step 5: Solve for x
    x = 661,743,180.22/34,027.40
  6. Step 6: Final answer
    x = 19,447.36

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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.