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Finding the Fourth Proportional to 31,056.32, 46,570.21 and 9,992.48

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Solution

The fourth proportional to 31,056.32, 46,570.21 and 9,992.48 is: 14,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056.32 : 46,570.21 = 9,992.48 : x
  2. Step 2: Convert to fraction form
    31,056.32/46,570.21 = 9,992.48/x
  3. Step 3: Cross multiply
    31,056.32x = 46,570.21 × 9,992.48
  4. Step 4: Simplify right side
    31,056.32x = 465,351,634.19
  5. Step 5: Solve for x
    x = 465,351,634.19/31,056.32
  6. Step 6: Final answer
    x = 14,984.12

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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.