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Finding the Fourth Proportional to 34,654.76, 51,976.74 and 9,692.18

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Solution

The fourth proportional to 34,654.76, 51,976.74 and 9,692.18 is: 14,536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,654.76 : 51,976.74 = 9,692.18 : x
  2. Step 2: Convert to fraction form
    34,654.76/51,976.74 = 9,692.18/x
  3. Step 3: Cross multiply
    34,654.76x = 51,976.74 × 9,692.18
  4. Step 4: Simplify right side
    34,654.76x = 503,767,919.89
  5. Step 5: Solve for x
    x = 503,767,919.89/34,654.76
  6. Step 6: Final answer
    x = 14,536.76

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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.