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Finding the Fourth Proportional to 31,950.80, 47,925.96 and 8,256.32

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Solution

The fourth proportional to 31,950.80, 47,925.96 and 8,256.32 is: 12,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950.80 : 47,925.96 = 8,256.32 : x
  2. Step 2: Convert to fraction form
    31,950.80/47,925.96 = 8,256.32/x
  3. Step 3: Cross multiply
    31,950.80x = 47,925.96 × 8,256.32
  4. Step 4: Simplify right side
    31,950.80x = 395,692,062.07
  5. Step 5: Solve for x
    x = 395,692,062.07/31,950.80
  6. Step 6: Final answer
    x = 12,384.42

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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.