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Finding the Fourth Proportional to 52,680, 72,692.42 and 31,170.40

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Solution

The fourth proportional to 52,680, 72,692.42 and 31,170.40 is: 43,011.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,680 : 72,692.42 = 31,170.40 : x
  2. Step 2: Convert to fraction form
    52,680/72,692.42 = 31,170.40/x
  3. Step 3: Cross multiply
    52,680x = 72,692.42 × 31,170.40
  4. Step 4: Simplify right side
    52,680x = 2,265,851,808.37
  5. Step 5: Solve for x
    x = 2,265,851,808.37/52,680
  6. Step 6: Final answer
    x = 43,011.61

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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.