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Finding the Fourth Proportional to 31,914.98, 47,842.70 and 10,840.60

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Solution

The fourth proportional to 31,914.98, 47,842.70 and 10,840.60 is: 16,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.98 : 47,842.70 = 10,840.60 : x
  2. Step 2: Convert to fraction form
    31,914.98/47,842.70 = 10,840.60/x
  3. Step 3: Cross multiply
    31,914.98x = 47,842.70 × 10,840.60
  4. Step 4: Simplify right side
    31,914.98x = 518,643,579.22
  5. Step 5: Solve for x
    x = 518,643,579.22/31,914.98
  6. Step 6: Final answer
    x = 16,250.79

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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.