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Finding the Fourth Proportional to 51,735.84, 77,538.80 and 22,118.84

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Solution

The fourth proportional to 51,735.84, 77,538.80 and 22,118.84 is: 33,150.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,735.84 : 77,538.80 = 22,118.84 : x
  2. Step 2: Convert to fraction form
    51,735.84/77,538.80 = 22,118.84/x
  3. Step 3: Cross multiply
    51,735.84x = 77,538.80 × 22,118.84
  4. Step 4: Simplify right side
    51,735.84x = 1,715,068,310.99
  5. Step 5: Solve for x
    x = 1,715,068,310.99/51,735.84
  6. Step 6: Final answer
    x = 33,150.49

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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.