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Finding the Fourth Proportional to 31,613.58, 47,420.37 and 8,239.95

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Solution

The fourth proportional to 31,613.58, 47,420.37 and 8,239.95 is: 12,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.58 : 47,420.37 = 8,239.95 : x
  2. Step 2: Convert to fraction form
    31,613.58/47,420.37 = 8,239.95/x
  3. Step 3: Cross multiply
    31,613.58x = 47,420.37 × 8,239.95
  4. Step 4: Simplify right side
    31,613.58x = 390,741,477.78
  5. Step 5: Solve for x
    x = 390,741,477.78/31,613.58
  6. Step 6: Final answer
    x = 12,359.93

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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.