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Finding the Fourth Proportional to 71,130.36, 106,692.18 and 17,822.84

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Solution

The fourth proportional to 71,130.36, 106,692.18 and 17,822.84 is: 26,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,130.36 : 106,692.18 = 17,822.84 : x
  2. Step 2: Convert to fraction form
    71,130.36/106,692.18 = 17,822.84/x
  3. Step 3: Cross multiply
    71,130.36x = 106,692.18 × 17,822.84
  4. Step 4: Simplify right side
    71,130.36x = 1,901,557,653.39
  5. Step 5: Solve for x
    x = 1,901,557,653.39/71,130.36
  6. Step 6: Final answer
    x = 26,733.42

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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.