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Finding the Fourth Proportional to 31,056.72, 46,570.74 and 9,992.85

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Solution

The fourth proportional to 31,056.72, 46,570.74 and 9,992.85 is: 14,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.72 : 46,570.74 = 9,992.85 : x
  2. Step 2: Convert to fraction form
    31,056.72/46,570.74 = 9,992.85/x
  3. Step 3: Cross multiply
    31,056.72x = 46,570.74 × 9,992.85
  4. Step 4: Simplify right side
    31,056.72x = 465,374,419.21
  5. Step 5: Solve for x
    x = 465,374,419.21/31,056.72
  6. Step 6: Final answer
    x = 14,984.66

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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.