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Finding the Fourth Proportional to 31,457.56, 47,173.86 and 9,263.32

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Solution

The fourth proportional to 31,457.56, 47,173.86 and 9,263.32 is: 13,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457.56 : 47,173.86 = 9,263.32 : x
  2. Step 2: Convert to fraction form
    31,457.56/47,173.86 = 9,263.32/x
  3. Step 3: Cross multiply
    31,457.56x = 47,173.86 × 9,263.32
  4. Step 4: Simplify right side
    31,457.56x = 436,986,560.82
  5. Step 5: Solve for x
    x = 436,986,560.82/31,457.56
  6. Step 6: Final answer
    x = 13,891.31

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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.