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Finding the Fourth Proportional to 31,443.64, 47,144.58 and 12,455.68

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Solution

The fourth proportional to 31,443.64, 47,144.58 and 12,455.68 is: 18,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,443.64 : 47,144.58 = 12,455.68 : x
  2. Step 2: Convert to fraction form
    31,443.64/47,144.58 = 12,455.68/x
  3. Step 3: Cross multiply
    31,443.64x = 47,144.58 × 12,455.68
  4. Step 4: Simplify right side
    31,443.64x = 587,217,802.21
  5. Step 5: Solve for x
    x = 587,217,802.21/31,443.64
  6. Step 6: Final answer
    x = 18,675.25

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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.