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Finding the Fourth Proportional to 31,678.58, 47,517.50 and 12,968.66

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Solution

The fourth proportional to 31,678.58, 47,517.50 and 12,968.66 is: 19,452.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678.58 : 47,517.50 = 12,968.66 : x
  2. Step 2: Convert to fraction form
    31,678.58/47,517.50 = 12,968.66/x
  3. Step 3: Cross multiply
    31,678.58x = 47,517.50 × 12,968.66
  4. Step 4: Simplify right side
    31,678.58x = 616,238,301.55
  5. Step 5: Solve for x
    x = 616,238,301.55/31,678.58
  6. Step 6: Final answer
    x = 19,452.84

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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.