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Finding the Fourth Proportional to 31,056.58, 46,570.57 and 9,992.73

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Solution

The fourth proportional to 31,056.58, 46,570.57 and 9,992.73 is: 14,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.58 : 46,570.57 = 9,992.73 : x
  2. Step 2: Convert to fraction form
    31,056.58/46,570.57 = 9,992.73/x
  3. Step 3: Cross multiply
    31,056.58x = 46,570.57 × 9,992.73
  4. Step 4: Simplify right side
    31,056.58x = 465,367,131.96
  5. Step 5: Solve for x
    x = 465,367,131.96/31,056.58
  6. Step 6: Final answer
    x = 14,984.49

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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.