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Finding the Fourth Proportional to 34,642.08, 51,957.90 and 9,679.50

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Solution

The fourth proportional to 34,642.08, 51,957.90 and 9,679.50 is: 14,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,642.08 : 51,957.90 = 9,679.50 : x
  2. Step 2: Convert to fraction form
    34,642.08/51,957.90 = 9,679.50/x
  3. Step 3: Cross multiply
    34,642.08x = 51,957.90 × 9,679.50
  4. Step 4: Simplify right side
    34,642.08x = 502,926,493.05
  5. Step 5: Solve for x
    x = 502,926,493.05/34,642.08
  6. Step 6: Final answer
    x = 14,517.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.