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Finding the Fourth Proportional to 31,451.68, 47,128.11 and 14,807.80

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Solution

The fourth proportional to 31,451.68, 47,128.11 and 14,807.80 is: 22,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,451.68 : 47,128.11 = 14,807.80 : x
  2. Step 2: Convert to fraction form
    31,451.68/47,128.11 = 14,807.80/x
  3. Step 3: Cross multiply
    31,451.68x = 47,128.11 × 14,807.80
  4. Step 4: Simplify right side
    31,451.68x = 697,863,627.26
  5. Step 5: Solve for x
    x = 697,863,627.26/31,451.68
  6. Step 6: Final answer
    x = 22,188.44

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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.