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Finding the Fourth Proportional to 51,194.60, 70,633.78 and 33,315.88

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Solution

The fourth proportional to 51,194.60, 70,633.78 and 33,315.88 is: 45,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,194.60 : 70,633.78 = 33,315.88 : x
  2. Step 2: Convert to fraction form
    51,194.60/70,633.78 = 33,315.88/x
  3. Step 3: Cross multiply
    51,194.60x = 70,633.78 × 33,315.88
  4. Step 4: Simplify right side
    51,194.60x = 2,353,226,538.43
  5. Step 5: Solve for x
    x = 2,353,226,538.43/51,194.60
  6. Step 6: Final answer
    x = 45,966.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.