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Finding the Fourth Proportional to 31,635.40, 47,459.32 and 9,448.32

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Solution

The fourth proportional to 31,635.40, 47,459.32 and 9,448.32 is: 14,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.40 : 47,459.32 = 9,448.32 : x
  2. Step 2: Convert to fraction form
    31,635.40/47,459.32 = 9,448.32/x
  3. Step 3: Cross multiply
    31,635.40x = 47,459.32 × 9,448.32
  4. Step 4: Simplify right side
    31,635.40x = 448,410,842.34
  5. Step 5: Solve for x
    x = 448,410,842.34/31,635.40
  6. Step 6: Final answer
    x = 14,174.34

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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.