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Finding the Fourth Proportional to 31,385.43, 47,076.80 and 8,011.35

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Solution

The fourth proportional to 31,385.43, 47,076.80 and 8,011.35 is: 12,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,385.43 : 47,076.80 = 8,011.35 : x
  2. Step 2: Convert to fraction form
    31,385.43/47,076.80 = 8,011.35/x
  3. Step 3: Cross multiply
    31,385.43x = 47,076.80 × 8,011.35
  4. Step 4: Simplify right side
    31,385.43x = 377,148,681.62
  5. Step 5: Solve for x
    x = 377,148,681.62/31,385.43
  6. Step 6: Final answer
    x = 12,016.68

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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.