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Finding the Fourth Proportional to 70,165, 96,827.70 and 40,357

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Solution

The fourth proportional to 70,165, 96,827.70 and 40,357 is: 55,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,165 : 96,827.70 = 40,357 : x
  2. Step 2: Convert to fraction form
    70,165/96,827.70 = 40,357/x
  3. Step 3: Cross multiply
    70,165x = 96,827.70 × 40,357
  4. Step 4: Simplify right side
    70,165x = 3,907,675,488.90
  5. Step 5: Solve for x
    x = 3,907,675,488.90/70,165
  6. Step 6: Final answer
    x = 55,692.66

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